Results 61 to 70 of about 146 (114)
Certain inequalities for the modified Bessel-type function
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
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Certain Extension of the Hurwitz-Lerch Zeta Function and its Properties
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
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A procedure for generating infinite series identities
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
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On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
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
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A new extension of Hurwitz-Lerch Zeta function
The main objective of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function in terms of extended beta function. We then investigate its important properties such as integral representations, differential formulas, Mellin transform and certain generating relations.
Rahman, Gauhar +2 more
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Recent Trends in Special Numbers and Special Functions and Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2015, Issue 1, 2015.
Serkan Araci +4 more
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On a Hurwitz-Lerch zeta type function and its applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prajapat, J. K. +2 more
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A New Representation for Srivastava’s λ-Generalized Hurwitz-Lerch Zeta Functions [PDF]
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.
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Some New Results Involving the Generalized Bose–Einstein and Fermi–Dirac Functions
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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Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
The 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
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