Results 31 to 40 of about 864 (74)
Some New Results Involving the Generalized Bose–Einstein and Fermi–Dirac Functions
Axioms, 2019 In this paper, we obtain a new series representation for the generalized Bose−Einstein and Fermi−Dirac functions by using fractional Weyl transform.
Rekha Srivastava +3 more
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On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias +2 more
wiley +1 more source
Inclusion Properties of New Classes of Analytic Functions
Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 The purpose of the present paper is to introduce certain new subclasses of analytic functions defined by Srivastava‐Attiya operator and study their inclusion relationships and to obtain some interesting consequences of the inclusion relations.
Mohan Das +4 more
wiley +1 more source
Interpolation function of the genocchi type polynomials
, 2010 The main purpose of this paper is to construct not only generating functions of the new approach Genocchi type numbers and polynomials but also interpolation function of these numbers and polynomials which are related to a, b, c arbitrary positive real ...
Apostol T. M. +23 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi +3 more
wiley +1 more source
Approximate functional equations for the Hurwitz and Lerch zeta-functions [PDF]
, 2017 As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunk\v{s}tis, A. Laurin\v{c}ikas, and J.
Miyagawa, Takashi
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Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main object of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function given in [1]. Some recurrence relations, generating functions and integral representations are derived for that new extension.
Ahmed Ali Al-Gonah +1 more
doaj
Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers
Mathematics, 2019 In this paper, we define Hurwitz–Lerch multi-poly-Cauchy numbers using the multiple polylogarithm factorial function. Furthermore, we establish properties of these types of numbers and obtain two different forms of the explicit formula using ...
Noel Lacpao +2 more
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Journal of Complex Analysis, Volume 2013, Issue 1, 2013., 2013 Let 𝒜p denote the class of functions analytic in the open unit disc 𝕌 and given by the series f(z)=zp+∑n=p+1∞anzn. For f ∈ 𝒜p, the transformation ℐp,δλ:𝒜p→𝒜p defined by ℐp,δλf(z)=zp+∑n=p+1∞((p+δ)/(n+δ))λanzn, (δ+p∈ℂ∖ℤ0-, λ∈ℂ; z∈𝕌), has been recently studied as fractional differintegral operator by Mishra and Gochhayat (2010).
Priyabrat Gochhayat, Jacek Dziok
wiley +1 more source
q-Analogues of the Barnes multiple zeta functions
, 2004 In this paper, we introduce $q$-analogues of the Barnes multiple zeta functions. We show that these functions can be extended meromorphically to the whole plane, and moreover, tend to the Barnes multiple zeta functions when $q\uparrow 1$ for all complex ...
Yamasaki, Yoshinori
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