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SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS
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This research paper aims to introduce an extension of the [Formula: see text]-Hurwitz–Lerch [Formula: see text]-function of matrix arguments and interpret its several properties, like generating matrix relations, derivative formulae, Mellin transforms and integral representations. Further, we discuss the solution of the fractional kinetic equations (FKEs) involving an extended [Formula: see text]-Hurwitz–Lerch [Formula: see text]-function of matrix arguments. In addition, the results investigated in view of an extended [Formula: see text]-Hurwitz–Lerch [Formula: see text]-matrix function are rather general in nature and can easily give various known and novel FKEs.
World Scientific Pub Co Pte Ltd
Title: SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS
Description:
This research paper aims to introduce an extension of the [Formula: see text]-Hurwitz–Lerch [Formula: see text]-function of matrix arguments and interpret its several properties, like generating matrix relations, derivative formulae, Mellin transforms and integral representations.
Further, we discuss the solution of the fractional kinetic equations (FKEs) involving an extended [Formula: see text]-Hurwitz–Lerch [Formula: see text]-function of matrix arguments.
In addition, the results investigated in view of an extended [Formula: see text]-Hurwitz–Lerch [Formula: see text]-matrix function are rather general in nature and can easily give various known and novel FKEs.
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