Geodesic
A Riordan array approach to Apostol type-Sheffer sequences
Filomat, Tome 33 (2019) no. 18, p. 6025

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DOI

In this article, the generalized Apostol type-Sheffer sequences are introduced and their properties including the quasi-monomiality, determinant form and series and conjugate representations are derived via Riordan array techniques. The generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi-Sheffer sequences are considered as their special cases. Certain examples are framed in terms of the generalized Apostol Bernoulli-associated Laguerre sequences, generalized Apostol-Euler-Hermite sequences and generalized Apostol-Genocchi-Legendre sequences to give the applications of main results. The numerical results to calculate the zeros and approximate solutions of these sequences are given and their graphical representations are shown
DOI : 10.2298/FIL1918025R
Classification : 11B83, 12E10, 11C20
Keywords: Sheffer sequences, Apostol type-Sheffer sequences, Quasi-monomiality, Determinant forms, Differential equations 
Mumtaz Riyasat. A Riordan array approach to Apostol type-Sheffer sequences. Filomat, Tome 33 (2019) no. 18, p. 6025 . doi: 10.2298/FIL1918025R
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     author = {Mumtaz Riyasat},
     title = {A {Riordan} array approach to {Apostol} {type-Sheffer} sequences},
     journal = {Filomat},
     pages = {6025 },
     year = {2019},
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     number = {18},
     doi = {10.2298/FIL1918025R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918025R/}
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