Search Results - "Lerch zeta function"

Approximation of analytic functions by generalized shifts of the Lerch zeta-function

Authors: Aidas Balčiūnas Toma Mikalauskaitė Darius Šiaučiūnas

Source: Mathematical Modelling and Analysis, Vol 30, Iss 1 (2025)
Mathematical modelling and analysis., Vilnius : Vilniaus Gedimino technikos universitetas, 2025, vol. 30, iss. 1, p. 142-158.

Subject Terms: Lerch zeta-function, Mergelyan theorem, space of analytic functions universality, weak conver-gence, QA1-939, weak convergence, universality, Mathematics, space of analytic functions

File Description: application/pdf

Access URL: https://doaj.org/article/2fc4fca206984492be9926e9822e5ed1
https://repository.vu.lt/VU:ELABAPDB227374096&prefLang=en_US

A note on the asymptotic expansion of the Lerch's transcendent

Authors: Cai, Xing Shi Lopez, Jose L.

Source: Integral transforms and special functions. 30(10):844-855

Subject Terms: Hurwitz-Lerch zeta function, asymptotic expansion, special functions

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-396071
https://doi.org/10.1080/10652469.2019.1627530

Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

Authors: Ekram E. Ali Rabha M. El-Ashwah Nicoleta Breaz et al.

Source: Mathematics, Vol 13, Iss 21, p 3430 (2025)

Subject Terms: meromorphic function, Hadamard (convolution) product, Hurwitz–Lerch zeta function, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/13/21/3430; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/741ffc324a944c819acb1461e8520c1f

The Cotangent Function as an Avatar of the Polylogarithm Function of Order 0 and Ramanujan’s Formula

Authors: Ruiyang Li Haoyang Lu Shigeru Kanemitsu

Source: Axioms, Vol 14, Iss 10, p 774 (2025)

Subject Terms: polylogarithm function, Lerch zeta-function, Ramanujan’s formula, eta transformation formula, Lambert series, functional equation, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2075-1680/14/10/774; https://doaj.org/toc/2075-1680

Access URL: https://doaj.org/article/b03404bd0b404feabb3fe36036467210

The approximation of analytic functions using shifts of the Lerch zeta-function in short intervals /

Authors: Laurinčikas, Antanas

Source: Axioms., Basel : MDPI, 2025, vol. 14, iss. 6, art. no. 472, p. [1-15]. ; ISSN 2075-1680

Subject Terms: Hurwitz zeta-function, Lerch zeta-function, Mergelyan theorem, short intervals, universality, weak convergence of probability measures

File Description: application/pdf

Relation: https://epublications.vu.lt/object/elaba:242581793/242581793.pdf; https://repository.vu.lt/VU:ELABAPDB242581793&prefLang=en_US

Availability: https://repository.vu.lt/VU:ELABAPDB242581793&prefLang=en_US

Approximation of analytic functions by generalized shifts of the Lerch zeta-function /

Authors: Balčiūnas, Aidas Mikalauskaitė, Toma Šiaučiūnas, Darius

Source: Mathematical modelling and analysis., Vilnius : Vilniaus Gedimino technikos universitetas, 2025, vol. 30, iss. 1, p. 142-158. ; ISSN 1392-6292 ; eISSN 1648-3510

Subject Terms: Lerch zeta-function, Mergelyan theorem, space of analytic functions universality, weak conver-gence

File Description: application/pdf

Relation: https://epublications.vu.lt/object/elaba:227374096/227374096.pdf; https://repository.vu.lt/VU:ELABAPDB227374096&prefLang=en_US

Availability: https://repository.vu.lt/VU:ELABAPDB227374096&prefLang=en_US

The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals

Authors: Antanas Laurinčikas

Source: Axioms, Vol 14, Iss 6, p 472 (2025)

Subject Terms: Hurwitz zeta-function, Lerch zeta-function, Mergelyan theorem, short intervals, universality, weak convergence of probability measures, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2075-1680/14/6/472; https://doaj.org/toc/2075-1680

Access URL: https://doaj.org/article/e0475ef026d24259838f2d36fd1e58e1

Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk

Authors: Ekram E. Ali Georgia Irina Oros Rabha M. El-Ashwah et al.

Source: Axioms, Vol 14, Iss 5, p 378 (2025)

Subject Terms: meromorphic p-valent function, Gaussian hypergeometric function, Hurwitz–Lerch Zeta function, convolution, linear operator, third-order fuzzy differential subordination, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2075-1680/14/5/378; https://doaj.org/toc/2075-1680

Access URL: https://doaj.org/article/5394bdb20c354c8bae5641bf535a2625

A short note on a extended finite secant series

Authors: Robert Reynolds

Source: AIMS Mathematics, Vol 8, Iss 11, Pp 26882-26895 (2023)

Subject Terms: gamma function, QA1-939, hurwitz-lerch zeta function, Mathematics, secant function

Access URL: https://doaj.org/article/2d3ca0e3672b42a49a20651fbfcddce2

Extended Moreno-García cosine products

Authors: Robert Reynolds

Source: AIMS Mathematics, Vol 8, Iss 2, Pp 3049-3063 (2023)

Subject Terms: cauchy integral, infinite product, QA1-939, 0101 mathematics, hurwitz-lerch zeta function, finite product, golden ratio, 01 natural sciences, Mathematics, cosine function

Access URL: https://doaj.org/article/372bfb2a8fa441fdb102973e65c7c7ac

Applications‎ ~‎of $Q$-hypergeometric and Hurwitz‎-Lerch Zeta Functions on Meromorphic Functions

Authors: Seyed Hadi Sayedain Boroujeni Shahram Najafzadeh

Source: Mathematics Interdisciplinary Research, Vol 8, Iss 4, Pp 309-325 (2023)

Subject Terms: meromorphic function‎, ‎convolution‎, ‎$\lambda-$generalized‎, ‎hurwitz-lerch zeta function‎, ‎$q$-hypergeometric function, Mathematics, QA1-939

File Description: electronic resource

Relation: https://mir.kashanu.ac.ir/article_114043_f1ce15a16a523cd33eae478b703b660b.pdf; https://doaj.org/toc/2476-4965

Access URL: https://doaj.org/article/def45bb7272c4c5aad8d8d8d508aed03

Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu Transform

Authors: YAĞCI, Oğuz ŞAHİN, Recep Other

Contributors: YAĞCI, Oğuz ŞAHİN, Recep Other

Source: Volume: 70, Issue: 2 678-689
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject Terms: Sumudu transform, Mittag-Leffler function, Hurwitz-Lerch Zeta function, generalized Hurwitz-Lerch Zeta function, fractional calculus, fractional kinetic equation, Applied Mathematics, Uygulamalı Matematik, 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: https://dergipark.org.tr/tr/download/article-file/1299304
https://hdl.handle.net/20.500.12587/23984
https://doi.org/10.31801/cfsuasmas.797257
https://search.trdizin.gov.tr/tr/yayin/detay498998
https://dergipark.org.tr/tr/pub/cfsuasmas/issue/62873/797257

Evaluation of General Class of Beta Integrals Involving Certain Particular Functions

Authors: Sharma, Manju

Subject Terms: Hurwitz-Lerch zeta Function, Gamma Function, Beta Function, Exponential Functions, Generalized Hypergeometric Function, Gauss's Hypergeometric Function, Extended Beta Function

A note on the Hurwitz-Lerch zeta function

Authors: Reynolds, Robert

Subject Terms: Primary 30E20, 33-01, 33-03, 33-04, Lerch zeta function, General Mathematics (math.GM), Cauchy integral, FOS: Mathematics, Mathematics - General Mathematics

Access URL: http://arxiv.org/abs/2411.04161

Extended Prudnikov sum

Authors: Robert Reynolds Allan Stauffer

Source: AIMS Mathematics, Vol 7, Iss 10, Pp 18576-18586 (2022)

Subject Terms: finite sum, cauchy integral, catalan's constant, QA1-939, 0101 mathematics, hurwitz-lerch zeta function, finite product, trigonometric function, 01 natural sciences, Mathematics

Access URL: https://doaj.org/article/b1615d2c0db140a6bda71083d088cd1e

Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function

Authors: Ekram E. Ali Georgia Irina Oros Rabha M. El-Ashwah et al.

Source: Mathematics, Vol 12, Iss 23, p 3721 (2024)

Subject Terms: fuzzy differential subordination, fuzzy best dominant, meromorphic function, Hurwitz–Lerch Zeta function, convolution, linear operator, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/12/23/3721; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/820d0b5f65294582920be230d3f66bd3

The Generalized Eta Transformation Formulas as the Hecke Modular Relation

Authors: Nianliang Wang Takako Kuzumaki Shigeru Kanemitsu

Source: Axioms, Vol 13, Iss 5, p 304 (2024)

Subject Terms: RHB correspondence, transformation formula for Lambert series, Hurwitz zeta function, Lerch zeta function, vector space structure, Mathematics, QA1-939

Relation: https://www.mdpi.com/2075-1680/13/5/304; https://doaj.org/toc/2075-1680; https://doaj.org/article/56c077241fc846bea0d5029d342c009f

Availability: https://doi.org/10.3390/axioms13050304
https://doaj.org/article/56c077241fc846bea0d5029d342c009f

New Results for Srivastava’s λ -Generalized Hurwitz-Lerch Zeta Function

Authors: Luo, Min-Jie Raina, R.K.

Source: Filomat, 2017 Jan 01. 31(8), 2219-2229.

Access URL: https://www.jstor.org/stable/26194960

An Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables

Authors: Choi, Junesang Parmar, Rakesh K.

Source: Filomat, 2017 Jan 01. 31(1), 91-96.

Access URL: https://www.jstor.org/stable/24899522

Some Subordination and Superordination Results Associated with Generalized Srivastava-Attiya Operator

Authors: Attiya, A. A. Yassen, M. F.

Source: Filomat, 2017 Jan 01. 31(1), 53-60.

Access URL: https://www.jstor.org/stable/24899517