On unified Gould-Hopper based Apostol-type polynomials
نویسندگان
چکیده
منابع مشابه
Multi-variable Gould-Hopper and Laguerre polynomials
The idea of monomiality traces back to the early forties of the last century, when J.F. Steffensen, in a largely unnoticed paper [1], suggested the concept of poweroid. A new interest in this subject was created by the work of G. Dattoli and his collaborators [2], [3] It turns out that all polynomial families, and in particular all special polynomials, are essentially the same, since it is poss...
متن کاملanalog of Apostol type polynomials of order
Motivated by Kurts work [Filomat 30 (4) 921-927, 2016], we rst consider a class of a new generating function for (p; q)-analog of Apostol type polynomials of order including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order . By making use of their generating function, we derive some useful identities. We also introduce (p; q)-analog of Stirling numbers of second kind...
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An operational approach introduced by Gould and Hopper to the construction of generalized Hermite polynomials is followed in the hypercomplex context to build multidimensional generalized Hermite polynomials by the consideration of an appropriate basic set of monogenic polynomials. Directly related functions, like Chebyshev polynomials of first and second kind are constructed.
متن کاملSome results on the Apostol-Bernoulli and Apostol-Euler polynomials
The main object of this paper is to investigate the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials. We first establish two relationships between the generalized Apostol-Bernoulli and Apostol-Euler polynomials. It can be found that many results obtained before are special cases of these two relationships. Moreover, we have a study on the sums of products of the Apostol-Bernoulli...
متن کاملAsymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials
We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials Bn(x;λ) in detail. The starting point is their Fourier series on [0, 1] which, it is shown, remains valid as an asymptotic expansion over compact subsets of the complex plane. This is used to determine explicit estimates on the constants in the approximation, and also to analyze oscillatory phenomena which arise in certain ...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Computer Science
سال: 2021
ISSN: 2008-949X
DOI: 10.22436/jmcs.024.04.01