کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6420968 1631807 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some results due to Konhauser polynomials of first kind and Laguerre polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Some results due to Konhauser polynomials of first kind and Laguerre polynomials
چکیده انگلیسی

The principal aim of this paper is to introduce new set of polynomialLmq(α,β)(z)=Γ(αm+β+1)m!∑n=0mq(-m)qnΓ(αn+β+1)znn!,whereα,β∈C;m,q∈N,mq denotes integral part of mq,Re(β)>-1. This new set of polynomials is generalization of the Konhauser polynomials and generalized Laguerre polynomials. For the polynomials Lmq(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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 247, 15 November 2014, Pages 639-650
نویسندگان
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