Meixner polinomlarının bazı yeni özellikleri

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.

Some new properties of the Meixner polynomials

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

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