Results 131 to 140 of about 2,373 (157)

Caputo Derivative Formulas of Hurwitz-Lerch Zeta Function and Applications

Communications on Applied Nonlinear Analysis
In this paper, we find the fractional derivative formulas of Hurwitz-Lerch Zeta function. Further, we compute the solution of fractional differential equations involving Hurwitz-Lerch Zeta function.
Sandeep Kumar, Owais Khan, N. Khan, N. Ahmad   +3 more
openaire   +2 more sources

An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination

Integral Transforms and Special Functions, 2007
H M Srivastava, Adel A Attiya
exaly   +2 more sources

A generalization of the Hurwitz - Lerch Zeta function

Integral Transforms and Special Functions, 2008
Junesang Choi, Douk-Soo Jang, H. Srivastava   +2 more
openaire   +2 more sources

A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function

Integral Transforms and Special Functions, 2007
Dorina Raducanu, H M Srivastava
exaly   +2 more sources

An extended general Hurwitz–Lerch zeta function as a Mathieu(a,λ)-series

Applied Mathematics Letters, 2011
It is shown that an integral representation for the extension of a general Hurwitz–Lerch zeta function recently obtained by Garg et al. (2008) [5] is a special case of the closed form integral expression for the Mathieu (a,λ)-series given by Pogány (2005)
Dragana Jankov, Tibor K Pogány, Ram K Saxena   +2 more
exaly   +2 more sources

Certain classes of analytic functions defined by Hurwitz–Lerch zeta function

Journal of Applied Analysis, 2021
Abstract In this work, we introduce and investigate a new class k -
Bolineni Venkateswarlu, Pinninti Thirupathi Reddy, Galla Swapna, Rompilli Madhuri Shilpa   +3 more
openaire   +2 more sources

Generating Function Involving General Function Related to Hurwitz- Lerch Zeta Function

Communications on Applied Nonlinear Analysis
In this paper, we have studied a general function which unifies the Hurwitz-Lerch Zeta function and Mittage-Leffler function. The integral representation of the function and certain generating functions involving this general function are established.
B. B. Jaimini
semanticscholar   +1 more source

Certain Convexity Properties of Hurwitz-Lerch Zeta and Mittag-Leffler Functions

Hokkaido Mathematical Journal, 2023
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Bansal, Deepak, Raina, Ravinder Krishna
openaire   +1 more source

Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function

Journal of Interdisciplinary Mathematics
The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,α k,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σ ξ,η (z, s, d) are obtained and presented in terms of the generalized (Wright ...
Sanjay Sharma, N. Menaria
semanticscholar   +1 more source

Certain Integral Representation and Fractional Derivatives Associated to a General Function Related to Hurwitz-Lerch Zeta Function

Panamerican Mathematical Journal
In this paper, some integral representation and fractional derivatives of a general function are established. The general function studied in this paper unifies the Mittag-Leffler function and the Hurwitz-Lerch Zeta function.
B. B. Jaimini
semanticscholar   +1 more source