Some new properties of the Meixner polynomials

Year 2017, Volume: 21 Issue: 6, 1454 - 1462, 01.12.2017

Nejla Özmen

https://doi.org/10.16984/saufenbilder.331327

Abstract

The present study deals with some new properties for the
Meixner polynomials. In this manuscript we obtain a number of families of bilineer
and bilateral generating functions, general properties and also some special
cases for these polynomials. In addition, we derive a theorem giving certain
families of bilateral generating functions for the generalized Lauricella functions
and the Meixner polynomials. Finally, we get several interesting results of
this theorem.

Keywords

generating function, bilineer and bilateral generating function, recurrence relations

Meixner polinomlarının bazı yeni özellikleri

Abstract

Bu çalışma Meixner polinomlar için bazı yeni özellikler ele
alınmıştır. Burada elde edilen sonuçlar Meixner polinomların bilineer ve bilateral
doğurucu fonksiyonların çeşitli ailelerini, çeşitli özelliklerini ve bazı özel
durumlarını içermektedir. Bunlara ek olarak genelleştirilmiş Lauricella
fonksiyonları  ve Meixner polinomları için
bilateral doğurucu fonksiyon içeren teorem verildi. Son olarak, bu teoremin
ilginç bazı sonuçları verildi.

Keywords

doğurucu fonksiyon, bilineer ve bilateral doğurucu fonksiyon, rekürans bağıntıları

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