The multi-variable unified family of generalized Apostol-type polynomials
نویسندگان
چکیده
منابع مشابه
An extension of generalized Apostol-Euler polynomials
Recently, Tremblay, Gaboury and Fugère introduced a class of the generalized Bernoulli polynomials (see Tremblay in Appl. Math. Let. 24:1888-1893, 2011). In this paper, we introduce and investigate an extension of the generalized Apostol-Euler polynomials. We state some properties for these polynomials and obtain some relationships between the polynomials and Apostol-Bernoulli polynomials, Stir...
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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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The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials. We also give an extension and some analogues of the Srivastava-Pintér addition theorem obtained in the works by Srivastava and Pintér 2004 and R...
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The aim of this paper is to investigate the bifurcation and chaotic behaviour in the two-parameter family of transcendental functions fλ,n(x) = λ x (ex+1)n , λ > 0, x ∈ R, n ∈ N\{1} which arises from the generating function of the generalized Apostol-type polynomials. The existence of the real fixed points of fλ,n(x) and their stability are studied analytically and the periodic points of fλ,n(x...
متن کاملSome Relationships between the Generalized Apostol- Bernoulli and Apostol-Euler Polynomials
Bernoulli polynomials play an important role in various expansions and approximation formulas which are useful both in analytic theory of numbers and the classical and the numerical analysis. These polynomials can be defined by various methods depending on the applications. There are six approaches to the theory of Bernoulli polynomials. We prefer here the definition by generating functions giv...
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ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2020
ISSN: 1452-8630,2406-100X
DOI: 10.2298/aadm190405015e