Results 71 to 80 of about 1,008 (140)
Recent Trends in Special Numbers and Special Functions and Polynomials
, 2015 International Journal of Mathematics and Mathematical Sciences, Volume 2015, Issue 1, 2015.
Serkan Araci +4 more
wiley +1 more source
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
A procedure for generating infinite series identities
International Journal of Mathematics and Mathematical Sciences, 2004 A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
doaj +1 more source
Certain inequalities for the modified Bessel-type function
Journal of Inequalities and Applications, 2019 We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math.
Min-Jie Luo, Ravinder Krishna Raina
doaj +1 more source
On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
Journal of Mathematical and Fundamental Sciences, 2017 In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator,
Khalid Challab +2 more
doaj +1 more source
A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions [PDF]
Symmetry, 2018 Taking inspiration principally from some of the latest research, we develop a new series representation for the λ-generalized Hurwitz-Lerch zeta functions. This representation led to important new results. The Fourier transform played a foundational role in this work.
openaire +1 more source
Real zeros of Hurwitz–Lerch zeta functions in the interval (−1,0)
Journal of Mathematical Analysis and Applications, 2016 For $0 < a \le 1$, $s,z \in {\mathbb{C}}$ and $0 < |z|\le 1$, the Hurwitz-Lerch zeta function is defined by $ (s,a,z) := \sum_{n=0}^\infty z^n(n+a)^{-s}$ when $ :=\Re (s) >1$. In this paper, we show that $ ( ,a,z) \ne 0$ when $ \in (-1,0)$ if and only if [I] $z=1$ and $(3-\sqrt{3}) /6 \le a \le 1/2$ or $(3+\sqrt{3}) /6 \le a \le 1$, [II] $
openaire +2 more sources
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
doaj +1 more source
On a Hurwitz-Lerch zeta type function and its applications
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prajapat, J. K. +2 more
openaire +3 more sources
Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
MathematicsThe notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali +4 more
doaj +1 more source