Výsledky vyhledávání - "summation formulas"

On the Application of a Hypergeometric Identity to Generate Generalized Hypergeometric Reduction Formulas

Autoři: Juan Luis González-Santander

Zdroj: Axioms, Vol 14, Iss 11, p 847 (2025)

Témata: gamma function, psi function, Bateman’s G function, beta function, incomplete beta function, summation formulas for generalized hypergeometric functions, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: https://www.mdpi.com/2075-1680/14/11/847; https://doaj.org/toc/2075-1680

Přístupová URL adresa: https://doaj.org/article/deca38407fae415b89c15f9ebca6d9bd

Two closed-form evaluations for the generalizedhypergeometric function4F3(116)

Autoři: Arjun K. Rathie Mykola A. Shpot

Témata: Generalized hypergeometric functions, Clausen function, Ramanujan-type summation formulas

Shifted Fibonacci Numbers

Autoři: Karataş, Adnan

Zdroj: Volume: 23, Issue: 6 1440-1444
Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi

Témata: Kaymış Fibonacci Sayıları, Binet Formülü, Özdeşlikler, Toplam Formülleri, Algebra and Number Theory, Binet Formula, Summation Formulas, Shifted Fibonacci Numbers, Identities, Cebir ve Sayı Teorisi

Popis souboru: application/pdf

Přístupová URL adresa: https://hdl.handle.net/11499/56896
https://doi.org/10.35414/akufemubid.1345862
https://hdl.handle.net/11630/12658
https://dergipark.org.tr/tr/pub/akufemubid/issue/81488/1345862

Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials

Autoři: Maryam Salem Alatawi

Zdroj: Mathematics ; Volume 13 ; Issue 2 ; Pages: 186

Témata: Lambda polynomials, umbral method, differential equation, summation formulas, operational identities

Popis souboru: application/pdf

Relation: https://dx.doi.org/10.3390/math13020186

Dostupnost: https://doi.org/10.3390/math13020186

The extended Exton's quadruple hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ and its properties

Autoři: Atash, Ahmed Bellehaj, Hussein

Zdroj: Journal of Innovative Applied Mathematics and Computational Sciences; Vol. 5 No. 1 (2025): January-June ; 53-65 ; 2773-4196 ; 10.58205/jiamcs.v5i1 ; ark:/49935/jiamcs.v5i1

Témata: Extended beta function, Extended Exton's function, Integral representations, Recurrence relations, Generating functions, Transformation formulas, Summation formulas, Applied Mathematics

Popis souboru: application/pdf

Relation: https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/V5I1916/1450

Dostupnost: https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/V5I1916
https://doi.org/10.58205/jiamcs.v5i1.1916

Dual Leonardo numbers

Autoři: Karataş, Adnan

Zdroj: AIMS Mathematics, Vol 8, Iss 12, Pp 30527-30536 (2023)

Témata: Leonardo numbers, summation formulas, leonardo numbers, QA1-939, dual numbers, Fibonacci numbers, Mathematics, fibonacci numbers, identities

Přístupová URL adresa: https://doaj.org/article/1f7260050c6640f3a297eac22498e0e3

Dual Leonardo numbers

Autoři: Adnan Karataş

Zdroj: AIMS Mathematics, Vol 8, Iss 12, Pp 30527-30536 (2023)

Témata: leonardo numbers, fibonacci numbers, dual numbers, identities, summation formulas, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: https://doaj.org/toc/2473-6988

Přístupová URL adresa: https://doaj.org/article/1f7260050c6640f3a297eac22498e0e3

Construction of partially degenerate Laguerre–Bernoulli polynomials of the first kind

Autoři: Waseem A. Khan Jihad Younis Mohd Nadeem

Zdroj: Applied Mathematics in Science and Engineering, Vol 30, Iss 1, Pp 362-375 (2022)

Témata: Symmetry (geometry), Bernoulli's principle, Orthogonal polynomials, symmetry identities, Bernoulli polynomials, Arithmetic of Multiple Zeta Values and Related Functions, Geometry, Combinatorial Mathematics and Algebraic Combinatorics, Matrix Valued Polynomials, Quantum mechanics, 01 natural sciences, Orthogonal Polynomials, QA1-939, FOS: Mathematics, Discrete Mathematics and Combinatorics, Laguerre polynomials, 0101 mathematics, Polylogarithms, summation formulas, Algebra and Number Theory, Degenerate energy levels, Applied Mathematics, Physics, 4. Education, laguerre polynomials, Classical orthogonal polynomials, partially degenerate laguerre–bernoulli polynomials of the first kind, Pure mathematics, Engineering (General). Civil engineering (General), 16. Peace & justice, Bernoulli process, Laguerre's method, Physical Sciences, Thermodynamics, TA1-2040, partially degenerate bernoulli polynomials of the first kind, Mathematics

Přístupová URL adresa: https://doaj.org/article/1f7a7a99eea64ec1b91a394244efa70e

New Summation and Integral Representations for 2-Variable ( p , q )-Hermite Polynomials

Autoři: Nusrat Raza Mohammed Fadel Wei-Shih Du

Zdroj: Axioms, Vol 13, Iss 3, p 196 (2024)

Témata: ( p, q )-calculus, 2-variable ( p, q )-Hermite polynomials, shift operator for polynomials, q )-differential equation summation formulas, integral representations, Mathematics, QA1-939

Relation: https://www.mdpi.com/2075-1680/13/3/196; https://doaj.org/toc/2075-1680; https://doaj.org/article/ff69707116bd42bab2194216c15c0a37

Dostupnost: https://doi.org/10.3390/axioms13030196
https://doaj.org/article/ff69707116bd42bab2194216c15c0a37

On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences

Autoři: Kirill Bakhtin Elena Prilepkina

Zdroj: Mathematics, Vol 12, Iss 11, p 1656 (2024)

Témata: generalized hypergeometric function, summation formulas, hypergeometric identity, Miller–Paris transformations, Euler–Pfaff type transformations, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/12/11/1656; https://doaj.org/toc/2227-7390; https://doaj.org/article/2089cc40522b45679e0cd1601707fd44

Dostupnost: https://doi.org/10.3390/math12111656
https://doaj.org/article/2089cc40522b45679e0cd1601707fd44

A note on a further extension of Gauss’s second summation theorem with an application to the extension of two well-known combinatorial identities

Autoři: Richard B. Paris Gradimir V. Milovanović Insuk Kim a další

Zdroj: Quaestiones Mathematicae; Vol. 45 No. 6 (2022); 959–968

Témata: 0101 mathematics, Knuth's old sum, Reed Dawson identity, Riordan identity, Gauss second summation theorem, hypergeometric summation formulas and identities, 01 natural sciences

Popis souboru: application/pdf

Přístupová URL adresa: https://www.ajol.info/index.php/qm/article/view/230231
https://www.tandfonline.com/doi/abs/10.2989/16073606.2021.1925368
https://rke.abertay.ac.uk/en/publications/a-note-on-a-further-extension-of-gausss-second-summation-theorem-
https://www.scilit.net/article/b945f934988c2d39d54c9c1f12a24076

Second Order Alternating Harmonic Number Sums

Autoři: Sofo, Anthony

Zdroj: Filomat, 2016 Jan 01. 30(13), 3511-3524.

Přístupová URL adresa: https://www.jstor.org/stable/24899444

On Some Formulas for the Lauricella Function

Autoři: Ainur Ryskan Tuhtasin Ergashev

Zdroj: Mathematics, Vol 11, Iss 24, p 4978 (2023)

Témata: Appell functions, Lauricella functions, expansion formulas, integral representation, differentiation formulas, summation formulas, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/11/24/4978; https://doaj.org/toc/2227-7390; https://doaj.org/article/ffac456dae204576afc0bcb2e877bccf

Dostupnost: https://doi.org/10.3390/math11244978
https://doaj.org/article/ffac456dae204576afc0bcb2e877bccf

A Unifying Principle in the Theory of Modular Relations

Autoři: Guodong Liu Kalyan Chakraborty Shigeru Kanemitsu

Zdroj: Mathematics, Vol 11, Iss 3, p 535 (2023)

Témata: summation formulas, modular relation, Mellin tranform, Riemann zeta function, functional equation, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/11/3/535; https://doaj.org/toc/2227-7390; https://doaj.org/article/a9f306d3e98b4ea2bc4c96d47dde61e4

Dostupnost: https://doi.org/10.3390/math11030535
https://doaj.org/article/a9f306d3e98b4ea2bc4c96d47dde61e4

Mémoire Court Dans Les Suites

Autoři: Laloui, Ayoub

Témata: Sequences and Series, Summation Formulas, Product Formulas, Finite Differences, Recurrence Relations, Combinatorial Identities, Factorial Identities, Binomial Coefficients, Proof by Induction

Relation: https://zenodo.org/records/17107855; oai:zenodo.org:17107855; https://doi.org/10.5281/zenodo.17107855

Dostupnost: https://doi.org/10.5281/zenodo.17107855
https://zenodo.org/records/17107855

Transformation and Summation Formulas for Exton's Functions K11, K14 And K15

Autoři: Ahmed Ali Atash Hussein Saleh Bellehaj

Zdroj: مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, Vol 1, Iss 1, Pp 49-53 (2020)

Témata: transformation formulas, summation formulas, hypergeometric functions, classical summation theorems., Science

Popis souboru: electronic resource

Relation: https://ejua.net/index.php/EJUA-BA/article/view/10; https://doaj.org/toc/2708-0684

Přístupová URL adresa: https://doaj.org/article/8026e04e7b1a41c9b74f80e3e4e7a879

Multifarious Implicit Summation Formulae of Hermite-Based Poly-Daehee Polynomials

Autoři: Khan, Waseem Ahmad Nisar, Kottakkaran Sooppy Duran, Uğur a další

Přispěvatelé: Khan, Waseem Ahmad Nisar, Kottakkaran Sooppy Duran, Uğur a další

Zdroj: Applied Mathematics & Information Sciences. 12:305-310

Témata: Hermite polynomials, Daehee polynomials, Hermite-based poly-Daehee polynomials, Cauchy product, Summation formulas, Bernoulli polynomials, Euler Polynomial | Bernoulli Number | P-Adic Q-Integral, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Generating function

Popis souboru: application/pdf

Přístupová URL adresa: http://openaccess.hku.edu.tr/xmlui/handle/20.500.11782/978
https://repository.psau.edu.sa/xmlui/handle/123456789/1069
https://hdl.handle.net/20.500.12508/478

Summations of Schlömilch series containing anger function terms

Autoři: Dragana Jankov Maširević

Zdroj: Mathematica Slovaca. 68:103-114

Témata: Weber function, summation formulas, 0301 basic medicine, Struve function, 03 medical and health sciences, Schlomilch series, Anger function, Lommel function of the first kind, 0101 mathematics, 01 natural sciences

Přístupová URL adresa: https://www.bib.irb.hr/979397

Some recurrence formulas for the Hermite polynomials and their squares

Autoři: Yuan He Fengzao Yang

Zdroj: Open Mathematics, Vol 16, Iss 1, Pp 553-560 (2018)

Témata: summation formulas, padé approximants, 05a19, QA1-939, recurrence formulas, 0101 mathematics, 11b83, 10. No inequality, 16. Peace & justice, 01 natural sciences, hermite polynomials, Mathematics

Přístupová URL adresa: https://doaj.org/article/79ba5f4a32624bf2816f0821fa270a21
https://www.degruyter.com/view/journals/math/16/1/article-p553.xml
https://www.degruyter.com/document/doi/10.1515/math-2018-0050/html

An alternative summation formula for the hypergeometric series p+2Fp+1(1) with integral parameter differences

Autoři: Paris, R. B.

Zdroj: Paris, R B 2021, 'An alternative summation formula for the hypergeometric series p+2Fp+1(1) with integral parameter differences', Applied Mathematical Sciences, vol. 15, no. 14, pp. 685-692. https://doi.org/10.12988/ams.2021.916554

Témata: Generalised hypergeometric function, Summation formulas at unit argument

Popis souboru: application/pdf

Relation: info:eu-repo/semantics/altIdentifier/pissn/1312-885X

Dostupnost: https://rke.abertay.ac.uk/en/publications/e75d8a0b-9e3d-4c00-8385-aa6ee83f430a
https://doi.org/10.12988/ams.2021.916554
https://rke.abertay.ac.uk/ws/files/34996987/Paris_AnAlternativeSummationFormula_Published_2021.pdf