Výsledky vyhledávání - "Elliptic functions and integrals"

Monotonicity properties of the Gaussian hypergeometric functions with applications

Autoři: Ma, Xiao-Yan He, Xing-Hua Zhong, Gen-Hong

Zdroj: Journal of Mathematical Inequalities. :135-149

Témata: Other analytical inequalities, Classical hypergeometric functions, \({}_2F_1\), Elliptic functions and integrals, complete elliptic integral, inequalities, generalized elliptic integrals, Elliptic integrals as hypergeometric functions, Inequalities involving other types of functions, Gaussian hypergeometric functions

Popis souboru: application/xml

CMC surfaces of revolution, elliptic curves, Weierstrass-$$\wp $$ functions, and algebraicity: CMC surfaces of revolution, elliptic curves, Weierstrass-\(\wp\) functions, and algebraicity

Autoři: Dey, Rukmini Paul, Anantadulal Singh, Rahul Kumar

Zdroj: Archiv der Mathematik. 124:137-149

Témata: Mathematics - Differential Geometry, Mathematics - Number Theory, Lorentz-Minkowski space, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, space-like CMC surfaces, Elliptic functions and integrals, Differential Geometry (math.DG), rotational CMC surfaces, 53A10, 11G07, elliptic curves, FOS: Mathematics, Elliptic curves, Number Theory (math.NT), algebraic surfaces

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2405.19742
https://zbmath.org/7978159
https://doi.org/10.1007/s00013-024-02071-0

A symmetry on weakly increasing trees and multiset Schett polynomials

Autoři: Lin, Zhicong Ma, Jun

Zdroj: Journal of Combinatorial Theory, Series A. 213:106010

Témata: degrees or levels of nodes, Exact enumeration problems, generating functions, Sequences and sets, 0102 computer and information sciences, 01 natural sciences, increasing trees, Trees, Planar graphs, geometric and topological aspects of graph theory, plane trees, Elliptic functions and integrals, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, Jacobi elliptic functions

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2104.10539
https://zbmath.org/8017442
https://doi.org/10.1016/j.jcta.2025.106010

New Applications of Elliptic Functions and Integrals in GPS Inter-Satellite Communications with Account of General Relativity Theory

Autoři: Bogdan Dimitrov

Zdroj: Mathematics ; Volume 13 ; Issue 8 ; Pages: 1286

Témata: GPS inter-satellite communications, general relativity, elliptic functions and integrals

Popis souboru: application/pdf

Relation: https://dx.doi.org/10.3390/math13081286

Dostupnost: https://doi.org/10.3390/math13081286

On the Bounds of the Perimeter of an Ellipse: On the bounds of the perimeter of an ellipse

Autoři: Zhao, Tiehong Wang, Miaokun Chu, Yuming

Zdroj: Acta Mathematica Scientia. 42:491-501

Témata: Classical hypergeometric functions, \({}_2F_1\), Elliptic functions and integrals, complete elliptic integral, ellipse, Gaussian hypergeometric function, perimeter, 0101 mathematics, 01 natural sciences, Means

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7560317
https://doi.org/10.1007/s10473-022-0204-y

On the generalized power-type Toader mean

Autoři: Zhao, Tie-Hong Wang, Miao-Kun Dai, Ye-Qi a další

Zdroj: Journal of Mathematical Inequalities. :247-264

Témata: Toader mean, power mean, Elliptic functions and integrals, generalized power-type Toader mean, 02 engineering and technology, complete elliptic integrals, 0210 nano-technology, 01 natural sciences, classical bivariate means, Means, 0104 chemical sciences

Popis souboru: application/xml

Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3: Optimal Lehmer mean bounds for the \(n\)th power-type Toader means of \(n=-1,1,3\)

Autoři: Zhao, Tie-Hong Chu, Hong-Hu Chu, Yu-Ming

Zdroj: Journal of Mathematical Inequalities. :157-168

Témata: Elliptic functions and integrals, Gini mean, Lehmer mean, toader mean, 0101 mathematics, complete elliptic integrals, 01 natural sciences, Means

Popis souboru: application/xml

Sharp inequalities for the Toader mean of order -1 in terms of other bivariate means: Sharp inequalities for the Toader mean of order \(-1\) in terms of other bivariate means

Autoři: Qian, Wei-Mao Chu, Hong-Hu Wang, Miao-Kun a další

Zdroj: Journal of Mathematical Inequalities. :127-141

Témata: Toader mean, geometric mean, Elliptic functions and integrals, complete elliptic integral, Seiffert mean, harmonic mean, logarithmic mean, 0101 mathematics, 01 natural sciences, Means, arithmetic mean

Popis souboru: application/xml

Parameterizations of Delaunay Surfaces from Scratch

Autoři: Clementina D. Mladenova Ivailo M. Mladenov Clementina Mladenova

Přispěvatelé: Clementina D. Mladenova Ivailo M. Mladenov Clementina Mladenova

Témata: Delaunay surfaces, surfaces of revolution, constant mean curvature surfaces, elliptic functions and integrals, roulettes

Popis souboru: application/pdf

Dostupnost: https://doi.org/10.3390/math12101570

On Minima of Sum of Theta Functions and Application to Mueller–Ho Conjecture: On minima of sum of theta functions and application to Mueller-Ho conjecture

Autoři: Senping Luo Juncheng Wei

Zdroj: Archive for Rational Mechanics and Analysis. 243:139-199

Témata: Optimization of shapes other than minimal surfaces, Elliptic functions and integrals, 0103 physical sciences, Lattices and convex bodies (number-theoretic aspects), Theta series, Weil representation, theta correspondences, intertwining lattices, 0101 mathematics, minimization problems, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7461132
https://doi.org/10.1007/s00205-021-01725-5
https://link.springer.com/content/pdf/10.1007/s00205-021-01725-5.pdf

Concavity and bounds involving generalized elliptic integral of the first kind

Autoři: Tie-Hong Zhao Yu-Ming Chu Miao-Kun Wang

Zdroj: Journal of Mathematical Inequalities. :701-724

Témata: Classical hypergeometric functions, \({}_2F_1\), Elliptic functions and integrals, generalized elliptic integrals, concavity, Gaussian hypergeometric function, Ramanujan constant function, 0101 mathematics, 01 natural sciences, Convexity of real functions in one variable, generalizations, generalized Grötzsch ring function

Popis souboru: application/xml

Přístupová URL adresa: http://files.ele-math.com/abstracts/jmi-15-50-abs.pdf
https://zbmath.org/7371152
https://doi.org/10.7153/jmi-2021-15-50

Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals: Sharp bounds for the weighted Hölder mean of the zero-balanced generalized complete elliptic integrals

Autoři: Tie-Hong Zhao Yu-Ming Chu Zai-Yin He

Zdroj: Computational Methods and Function Theory. 21:413-426

Témata: Classical hypergeometric functions, \({}_2F_1\), Elliptic functions and integrals, zero-balanced, Gaussian hypergeometric function, 02 engineering and technology, 0101 mathematics, complete elliptic integrals, 0210 nano-technology, 01 natural sciences, weighted Hölder mean

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7404666
https://doi.org/10.1007/s40315-020-00352-7
https://link.springer.com/article/10.1007/s40315-020-00352-7

The Cauchy–Riemann strain functional for Legendrian curves in the 3-sphere

Autoři: Musso, Emilio Salis, Filippo

Zdroj: Annali di Matematica Pura ed Applicata (1923 -). 199:2395-2434

Témata: Mathematics - Differential Geometry, CR-geometry, Legendrian curves, Contact structures, Arnold–Liouville integrability, Elliptic curves, Elliptic functions and integrals, Differential Geometry (math.DG), FOS: Mathematics, 0101 mathematics, 01 natural sciences, 53D20, 53A20, 37K10, 37K25, 32V05

Popis souboru: application/pdf

Přístupová URL adresa: http://arxiv.org/pdf/2003.01713
http://arxiv.org/abs/2003.01713
https://iris.polito.it/handle/11583/2803032
https://link.springer.com/article/10.1007/s10231-020-00974-7
http://link.springer.com/article/10.1007/s10231-020-00974-7
https://doi.org/10.1007/s10231-020-00974-7
https://hdl.handle.net/11583/2803032

A necessary and sufficient condition for the convexity of the generalized elliptic integral of the first kind with respect to Hölder mean

Autoři: Hong-Hu Chu Wei Wang

Zdroj: Journal of Mathematical Inequalities. :901-921

Témata: complete \(p\)-elliptic integral, Elliptic functions and integrals, convexity, generalized elliptic integral, Hölder mean, 0101 mathematics, 01 natural sciences, Convexity of real functions in one variable, generalizations, Means

Popis souboru: application/xml

Přístupová URL adresa: http://files.ele-math.com/abstracts/jmi-14-59-abs.pdf
https://zbmath.org/7288776
https://doi.org/10.7153/jmi-2020-14-59

Asymptotic expansion and bounds for complete elliptic integrals

Autoři: en Zhang Yong-Min Li Miao-Kun Wang a další

Zdroj: Mathematical Inequalities & Applications. :821-841

Témata: asymptotic expansion, bound, Elliptic functions and integrals, infinite series, 0101 mathematics, complete elliptic integrals, 01 natural sciences, Means, arithmetic-geometric mean

Popis souboru: application/xml

Přístupová URL adresa: http://files.ele-math.com/abstracts/mia-23-67-abs.pdf
https://zbmath.org/7284488
https://doi.org/10.7153/mia-2020-23-67

Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means

Autoři: Fan Zhang Weimao Qian Hui Zuo Xu

Zdroj: Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-11 (2022)

Témata: Arithmetic mean, complete elliptic integral, Complete elliptic integral, harmonic mean, Harmonic mean, 01 natural sciences, Geometric mean, arithmetic mean, geometric mean, Classical hypergeometric functions, \({}_2F_1\), Elliptic functions and integrals, QA1-939, Inequalities for sums, series and integrals, 0101 mathematics, Mathematics, Means, Seiffert-like mean

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7512188
https://doi.org/10.1186/s13660-022-02768-2
https://doaj.org/article/5bf38ed382d74703806f18ee344c92e8

On the monotonicity and convexity for generalized elliptic integral of the first kind

Autoři: Ya-jun Chen Tie-hong Zhao

Zdroj: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 116

Témata: Classical hypergeometric functions, \({}_2F_1\), Elliptic functions and integrals, generalized elliptic integrals, Gaussian hypergeometric function, log-concavity, 0101 mathematics, monotonicity, 01 natural sciences, Monotonic functions, generalizations, Convexity of real functions in one variable, generalizations

Popis souboru: application/xml

Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means

Autoři: Hui-Zuo Xu Wei-Mao Qian Yu-Ming Chu

Zdroj: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 116

Témata: geometric mean, Elliptic functions and integrals, lemniscatic mean, one-parameter mean, quadratic mean, 0101 mathematics, arc lemniscate function, 01 natural sciences, Means

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7425417
https://doi.org/10.1007/s13398-021-01162-9
https://link.springer.com/article/10.1007/s13398-021-01162-9

A simple rational approximation to the generalized elliptic integral of the first kind

Autoři: Ling Zhu

Zdroj: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 115

Témata: Approximation by rational functions, simple bound, Elliptic functions and integrals, 0101 mathematics, rational approximation, generalized elliptic integral of the first kind, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://dialnet.unirioja.es/servlet/articulo?codigo=8065243
https://link.springer.com/article/10.1007/s13398-021-01027-1

New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions: New Hermite-Hadamard type inequalities for \(n\)-polynomial harmonically convex functions

Autoři: Muhammad Uzair Awan Nousheen Akhtar Sabah Iftikhar a další

Zdroj: Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-12 (2020)

Témata: n-polynomial, \(n\)-polynomial, 01 natural sciences, Harmonic convex function, Convexity of real functions in one variable, generalizations, Hermite–Hadamard inequality, Hermite-Hadamard inequality, Elliptic functions and integrals, Fractional derivatives and integrals, QA1-939, Inequalities for trigonometric functions and polynomials, 0101 mathematics, harmonic convex function, Mathematics, Means

Popis souboru: application/xml

Přístupová URL adresa: https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/s13660-020-02393-x
https://zbmath.org/7460900
https://doi.org/10.1186/s13660-020-02393-x
https://doaj.org/article/32f4da98aed349449da267989b2fcae8
https://link.springer.com/content/pdf/10.1186/s13660-020-02393-x.pdf
https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-020-02393-x
https://link.springer.com/article/10.1186/s13660-020-02393-x