Yazar "0000-0003-1091-9697" için listeleme
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The Boole Polynomials Associated with the p-adic Gamma Function
Duran, Uğur; Açıkgöz, Mehmet (Publications de l'Institut Mathématique, 2019)We set some correlations between Boole polynomials and p-adic gamma function in conjunction with p-adic Euler contant. We develop diverse formulas for p-adic gamma function by means of their Mahler expansion and fermionic ... -
Generalized Apostol Type Polynomials Based on Twin-Basic Numbers
Duran, Uğur; Açıkgöz, Mehmet; Dutta, Hemen (Rgn Publ, 2020)In this work, we consider a class of new generating function for (p, q)-analog of Apostol type polynomials of order alpha including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ... -
Multifarious correlations for p-adic gamma function and weighted q-Daehee polynomials
Duran, Uğur; Açıkgöz, Mehmet (Maejo University, 2019)Diverse relations and identities for p-adic gamma function and p- adic Euler constant by means of weighted p-adic q-integral on pZ and Mahler expansion of the function are investigated. Then several correlations and formulas ... -
On applications of blending generating functions of q-Apostol-type polynomials
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Bulgarian Academy of Sciences, 2019)Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ... -
On Degenerate Truncated Special Polynomials
Duran, Uğur; Açıkgöz, Mehmet (Mdpi, 2020)The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation ... -
On p-adic gamma function related to q-Daehee polynomials and numbers
Duran, Uğur; Açıkgöz, Mehmet (Universidad Catolica del Norte, 2019)In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on Zp of p-adic gamma function via their Mahler expansions. We also derived two q-Volkenborn integrals of p-adic gamma function in terms of q-Daehee ... -
Research on Some New Results Arising from Multiple q-Calculus
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (University of Nis, 2018)In this paper, we develop the theory of the multiple q-analogue of the Heine's binomial formula, chain rule and Leibniz's rule. We also derive many useful definitions and results involving multiple q-antiderivative and ... -
Some (p, q)-analogues of Apostol type numbers and polynomials
Açıkgöz, Mehmet; Aracı, Serkan; Duran, Uğur (University of Tartu Press, 2019)We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several ... -
A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions
Duran, Uğur; Açıkgöz, Mehmet (Mdpi, 2019)In this paper, we introduce the (rho, q)-analog of the p-adic factorial function. By utilizing some properties of (rho, q)-numbers, we obtain several new and interesting identities and formulas. We then construct the p-adic ... -
Unified (p, q)-analog of Apostol Type Polynomials of Order alpha
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (University of Nis, 2018)In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ...