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- W2046574040 abstract "The principal aim of this paper is to introduce new set of polynomial L m q ( α , β ) ( z ) = ? ( α m + β + 1 ) m ! ? n = 0 m q ( - m ) qn ? ( α n + β + 1 ) z n n ! , where α , β ? C ; m , q ? N , m q denotes integral part of m q , Re ( β ) - 1 . This new set of polynomials is generalization of the Konhauser polynomials and generalized Laguerre polynomials. For the polynomials L m q ( α , β ) ( z ) , its various properties including relation with generalized Mittag-Leffler function, integral representations, generalized hypergeometric series representations, finite summation formulae, generating relations, fractional integral operators and differentials operators, recurrence relations, integral transforms with their several interesting cases have been discussed." @default.
- W2046574040 created "2016-06-24" @default.
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- W2046574040 date "2014-11-01" @default.
- W2046574040 modified "2023-09-27" @default.
- W2046574040 title "Some results due to Konhauser polynomials of first kind and Laguerre polynomials" @default.
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- W2046574040 doi "https://doi.org/10.1016/j.amc.2014.09.020" @default.
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