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IDENTITIES OF A GENERAL MULTIPLE HURWITZ-LERCH ZETA FUNCTION AND APPLICATIONS
jnanabha, 2023In this article we introduce a general multiple Hurwitz-Lerch Zeta function. Then its convergence conditions and identities are obtained under certain conditions. We also derive some of connections to the multiple Hurwitz-Lerch Zeta function based upon Srivastava-Daoust hypergeometric series in several variables and other related functions of one and ...
Chandel, R. C. Singh +2 more
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Journal of Nonlinear and Variational Analysis, 2022
Summary: In this paper, we introduce and investigate various properties and relations involving some general families of double and multiple Hurwitz-Lerch type zeta functions which are associated with the Srivastava-Daoust class of hypergeometric functions in two and more variables.
Srivastava, H. M. +2 more
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Summary: In this paper, we introduce and investigate various properties and relations involving some general families of double and multiple Hurwitz-Lerch type zeta functions which are associated with the Srivastava-Daoust class of hypergeometric functions in two and more variables.
Srivastava, H. M. +2 more
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Some expansion formulas for a class of generalized Hurwitz–Lerch Zeta functions
Integral Transforms and Special Functions, 2006By making use of fractional calculus, the authors present a systematic investigation of expansion and transformation formulas for several general families of the Hurwitz–Lerch Zeta functions. Relevant connections of the results discussed here with those obtained in earlier works are also indicated precisely.
Shy-Der Lin +2 more
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jnanabha, 2023
In this paper, we introduce certain families of double series associated with general Hurwitz-Lerch type Zeta functions and then derive their summation formulae, series and integral identities. Again then using these identities, we obtain various known and unknown results and hypergeometric generating relations.
Hemant Kumar, R. C. Singh Chandel
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In this paper, we introduce certain families of double series associated with general Hurwitz-Lerch type Zeta functions and then derive their summation formulae, series and integral identities. Again then using these identities, we obtain various known and unknown results and hypergeometric generating relations.
Hemant Kumar, R. C. Singh Chandel
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jnanabha, 2023
In this paper, we exhibit certain double series associated with general hypergeometric type Hurwitz- Lerch Zeta functions and then derive their summation formulae and relations due to their series and integral identities. We also obtain various known and unknown results in terms of Hurwitz-Lerch Zeta functions and their generating relations.
R. C. Singh Chandel, Hemant Kumar
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In this paper, we exhibit certain double series associated with general hypergeometric type Hurwitz- Lerch Zeta functions and then derive their summation formulae and relations due to their series and integral identities. We also obtain various known and unknown results in terms of Hurwitz-Lerch Zeta functions and their generating relations.
R. C. Singh Chandel, Hemant Kumar
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Generating Function Involving General Function Related to Hurwitz- Lerch Zeta Function
Communications on Applied Nonlinear AnalysisIn 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. A mild extension of thisgeneral function is also presented in this paper. The generating functions for
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The Quarterly Journal of Mathematics, 2009
A surface integral representation of a multiple generalization of the Hurwitz–Lerch zeta function is given, which is a direct analogue of the well-known contour integral representation of the Riemann zeta function of Hankel's type. From this integral representation, we derive a detailed description of the set of its possible singularities. In addition,
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A surface integral representation of a multiple generalization of the Hurwitz–Lerch zeta function is given, which is a direct analogue of the well-known contour integral representation of the Riemann zeta function of Hankel's type. From this integral representation, we derive a detailed description of the set of its possible singularities. In addition,
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International Journal of Research and Scientific Innovation
In this paper, we introduce and investigate a new class of bi- univalent functions defined in the open unit disk involving a general integral operator associated with the general Hurwitz- Lerch Zeta function denoted by . The main result of the investigation is to estimate the upper bounds for the initial Taylor–Maclaurin coefficients of functions ...
Alaa Ali Aljamie, Nagat Muftah Alabbar
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In this paper, we introduce and investigate a new class of bi- univalent functions defined in the open unit disk involving a general integral operator associated with the general Hurwitz- Lerch Zeta function denoted by . The main result of the investigation is to estimate the upper bounds for the initial Taylor–Maclaurin coefficients of functions ...
Alaa Ali Aljamie, Nagat Muftah Alabbar
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A generalization of the Hurwitz - Lerch Zeta function
Integral Transforms and Special Functions, 2008openaire +1 more source