Geodesic
A parametric unified Apostol-type Bernoulli, Euler, Genocchi, Fubini polynomials and numbers
Filomat, Tome 37 (2023) no. 19, p. 6307

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DOI

In recent years, mathemacians ([1], [3], [5], [22], [23]) introduced and investigated the Fubini Apostol-type numbers and polynomials. They gave some recurrence relations explicit properties and identities for these polynomials. In [12], author considered unified degenerate Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials and gave some relations and identities for these polynomials. In this article, we consider a parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials. By using the monomiality principle, we give some relations for the parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials. Furthermore, we give summation formula for these polynomials.
DOI : 10.2298/FIL2319307K
Classification : 11B68, 11B83, 05A15, 33B10, 33D45
Keywords: The Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, Fubini polynomials, Generalized Stirling numbers of the second kind, Parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials, The Three-variable unified Apostoltype Bernoulli, Euler, Genocchi and Fubini polynomials, Quasi-monomial princible 
Burak Kurt. A parametric unified Apostol-type Bernoulli, Euler, Genocchi, Fubini polynomials and numbers. Filomat, Tome 37 (2023) no. 19, p. 6307 . doi: 10.2298/FIL2319307K
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     author = {Burak Kurt},
     title = {A parametric unified {Apostol-type} {Bernoulli,} {Euler,} {Genocchi,} {Fubini} polynomials and numbers},
     journal = {Filomat},
     pages = {6307 },
     year = {2023},
     volume = {37},
     number = {19},
     doi = {10.2298/FIL2319307K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319307K/}
}
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