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

Mathematics Interdisciplinary Research, 2023
‎A new subclass of meromorphic univalent functions by using the q-hypergeometric and Hurwitz-Lerch Zeta functions is defined‎. ‎Also‎, ‎by applying the generalized Liu-Srivastava operator on meromorphic functions‎, ‎some geometric properties of the new ...
Seyed Hadi Sayedain Boroujeni, Shahram Najafzadeh   +1 more
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Unified Theory of Zeta-Functions Allied to Epstein Zeta-Functions and Associated with Maass Forms

Mathematics, 2023
In this paper, we shall establish a hierarchy of functional equations (as a G-function hierarchy) by unifying zeta-functions that satisfy the Hecke functional equation and those corresponding to Maass forms in the framework of the ramified functional ...
Nianliang Wang, Takako Kuzumaki, Shigeru Kanemitsu   +2 more
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A continuous version of multiple zeta functions and multiple zeta values

Comptes Rendus. Mathématique, 2023
In this paper we define a continuous version of multiple zeta functions. They can be analytically continued to meromorphic functions on $\mathbb{C}^r$ with only simple poles at some special hyperplanes.
Li, Jiangtao
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Zeta functions from graphs

AKCE International Journal of Graphs and Combinatorics, 2018
The location of the nontrivial poles of a generalized zeta function is derived from the spectrum of Ramanujan graphs and bounds are established for irregular graphs. The existence of a similarity transformation of the diagonal matrix given by a specified
Simon Davis
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New Zero-Free Regions for Hypergeometric Zeta and Fractional Hypergeometric Zeta Functions

Journal of Mathematics, 2022
We describe and demonstrate zero-free regions for the families called “hypergeometric zeta functions” and “fractional hypergeometric zeta functions”. These zero-free regions are vertical strips in the right half of the complex plane.
Demessie Ergabus Birmechu, Hunduma Legesse Geleta   +1 more
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Zeta functions of cusp forms

Lietuvos Matematikos Rinkinys, 2003
There is not abstract.
Antanas Laurinčikas
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A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function

Mathematics, 2021
In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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Joint discrete approximation of analytic functions by Hurwitz zeta-functions

Mathematical Modelling and Analysis, 2022
Let H(D) be the space of analytic functions on the strip . In this paper, it is proved that there exists a closed non-empty set such that every collection of the functions is approximated by discrete shifts , of Hurwitz zeta-functions with arbitrary ...
Aidas Balčiūnas, Virginija Garbaliauskienė, Violeta Lukšienė, Renata Macaitienė, Audronė Rimkevičienė   +4 more
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On zeta-functions of cusp forms

Lietuvos Matematikos Rinkinys, 2004
There is not abstract.
Antanas Laurinčikas
doaj   +3 more sources

Two types of hypergeometric degenerate Cauchy numbers

Open Mathematics, 2020
In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
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