Some new properties of the Meixner polynomials

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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