Results 71 to 80 of about 111 (90)
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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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Integral Transforms and Special Functions, 2014
By using a linear operator associated with the λ-generalized Hurwitz–Lerch zeta function, which is defined here by means of the Hadamard product (or convolution), the authors introduce and investigate various properties of certain subclasses of meromorphically univalent functions in the punctured unit disk.
H.M. Srivastava +2 more
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By using a linear operator associated with the λ-generalized Hurwitz–Lerch zeta function, which is defined here by means of the Hadamard product (or convolution), the authors introduce and investigate various properties of certain subclasses of meromorphically univalent functions in the punctured unit disk.
H.M. Srivastava +2 more
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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 FURTHER EXTENSION OF THE GENERALIZED HURWITZ-LERCH ZETA FUNCTION
Far East Journal of Mathematical Sciences (FJMS), 2017Junesang Choi +2 more
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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. We have evaluated certain type of integrals involving the Mittag-Leffler function which gives the general function as resultant.
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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. We have evaluated certain type of integrals involving the Mittag-Leffler function which gives the general function as resultant.
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A generalization of the Hurwitz - Lerch Zeta function
Integral Transforms and Special Functions, 2008openaire +1 more source
On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions
Mathematics, 2020F Ghanim +2 more
exaly
Integral and computational representations of the extended Hurwitz–Lerch zeta function
Integral Transforms and Special Functions, 2011Tibor K Pogány +2 more
exaly