Notes on q-Hermite based unified Apostol type polynomials
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DOI: 10.1080/09720502.2019.1709317
Abstract: Abstract In this article, a new class of q-Hermite based unified Apostol type polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived… read more here.
Keywords: type polynomials; unified apostol; based unified; apostol type ... See more keywords
Bispectrality of Charlier type polynomials
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DOI: 10.1080/10652469.2019.1596090
Abstract: ABSTRACT Given a finite set of positive integers G and polynomials , , with degree of equal to g, we associate to them a sequence of Charlier type polynomials defined from the Charlier polynomials by… read more here.
Keywords: bispectrality charlier; type polynomials; charlier type;
Combinatorial sums and binomial identities associated with the Beta-type polynomials
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DOI: 10.15672/hjms.2017.505
Abstract: In this paper, we first provide some functional equations of the gener ating functions for beta-type polynomials. Using these equations, we derive various identities of the beta-type polynomials and the Bernstein basis functions. We then… read more here.
Keywords: type polynomials; combinatorial sums; beta type; polynomials combinatorial ... See more keywords
The multi-variable unified family of generalized Apostol-type polynomials
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DOI: 10.2298/aadm190405015e
Abstract: The aim of this paper is to investigate and give a new family of multi-variable Apostol-type polynomials. This family is related to Apostol-Euler, Apostol-Bernoulli, Apostol-Genocchi and Apostol-laguerre polynomials. Moreover, we derive some implicit summation formulae… read more here.
Keywords: type polynomials; multi variable; variable unified; family ... See more keywords
Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol-Bernoulli Polynomials and Numbers, and Degenerate Apostol-Euler Polynomials and Numbers
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DOI: 10.3390/axioms11090477
Abstract: In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for… read more here.
Keywords: type polynomials; degenerate apostol; polynomials numbers; fubini type ... See more keywords
Szász-Beta Operators Linking Frobenius-Euler-Simsek-Type Polynomials
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DOI: 10.3390/axioms14060418
Abstract: This manuscript associates with a study of Frobenius–Euler–Simsek-type Polynomials. In this research work, we construct a new sequence of Szász–Beta type operators via Frobenius–Euler–Simsek-type Polynomials to discuss approximation properties for the Lebesgue integrable functions, i.e.,… read more here.
Keywords: simsek type; type; type polynomials; euler simsek ... See more keywords
On Generating Functions for Boole Type Polynomials and Numbers of Higher Order and Their Applications
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DOI: 10.3390/sym11030352
Abstract: The purpose of this manuscript is to study and investigate generating functions for Boole type polynomials and numbers of higher order. With the help of these generating functions, many properties of Boole type polynomials and… read more here.
Keywords: type polynomials; boole type; generating functions; polynomials numbers ... See more keywords
Some Relations of Two Type 2 Polynomials and Discrete Harmonic Numbers and Polynomials
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DOI: 10.3390/sym12060905
Abstract: The aim of this paper is twofold. The first one is to find several relations between the type 2 higher-order degenerate Euler polynomials and the type 2 higher-order Changhee polynomials in connection with the degenerate… read more here.
Keywords: type polynomials; two type; discrete harmonic; harmonic numbers ... See more keywords