Search Results - "Duran, Uğur"
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1
Modified Sumudu Transform and Its Properties
Published in Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi (15-04-2021)“…Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations…”
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2
A certain (p,q)-derivative operator and associated divided differences
Published in Journal of inequalities and applications (23-11-2016)“…Recently, Sofonea (Gen. Math. 16:47-54, 2008 ) considered some relations in the context of quantum calculus associated with the q -derivative operator D q and…”
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3
Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications
Published in Advances in difference equations (18-08-2020)“…Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019 ) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of…”
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4
Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials
Published in Symmetry (Basel) (01-10-2020)“…Kim and Kim (Russ. J. Math. Phys. 26, 2019, 40-49) introduced polyexponential function as an inverse to the polylogarithm function and by this, constructed a…”
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5
A Note on Degenerate Catalan-Daehee Numbers and Polynomials
Published in Symmetry (Basel) (01-10-2022)“…In this paper, we consider the degenerate forms of the Catalan–Daehee polynomials and numbers by the Volkenborn integrals and obtain diverse explicit…”
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6
Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials
Published in Journal of function spaces (2023)“…In this study, we introduce sine and cosine Bell-based Frobenius-type Eulerian polynomials, and by presenting several relations and applications, we analyze…”
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7
Symmetric Identities Involving the Extended Degenerate Central Fubini Polynomials Arising from the Fermionic p-Adic Integral on ℤp
Published in Axioms (01-07-2024)“…Since the constructions of p-adic q-integrals, these integrals as well as particular cases have been used not only as integral representations of many special…”
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8
On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling
Published in Applied mathematics in science and engineering (31-12-2024)“…In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate…”
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9
On Degenerate Truncated Special Polynomials
Published in Mathematics (Basel) (01-01-2020)“…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…”
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10
Bivariate q -Laguerre–Appell polynomials and their applications
Published in Applied mathematics in science and engineering (31-12-2024)“…Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered. Also,…”
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11
Two-Variable Type 2 Poly-Fubini Polynomials
Published in Mathematics (Basel) (01-02-2021)“…In the present work, a new extension of the two-variable Fubini polynomials is introduced by means of the polyexponential function, which is called the…”
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12
Bell-Based Bernoulli Polynomials with Applications
Published in Axioms (01-03-2021)“…In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas…”
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13
Truncated Fubini Polynomials
Published in Mathematics (Basel) (01-05-2019)“…In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials…”
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14
On (p, q)-Sine and (p, q)-Cosine Fubini Polynomials
Published in Symmetry (Basel) (01-03-2022)“…In recent years, (p,q)-special polynomials, such as p,q-Euler, p,q-Genocchi, p,q-Bernoulli, and p,q-Frobenius-Euler, have been studied and investigated by many…”
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15
The higher-order type 2 Daehee polynomials associated with p-adic integral on ℤp
Published in Applied mathematics in science and engineering (01-12-2022)“…In this paper, the higher-order type 2 Daehee polynomials are introduced and some of their relations and properties are derived. Then, some p-adic integral…”
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16
A New Class of Higher-Order Hypergeometric Bernoulli Polynomials Associated with Lagrange–Hermite Polynomials
Published in Symmetry (Basel) (01-04-2021)“…The purpose of this paper is to construct a unified generating function involving the families of the higher-order hypergeometric Bernoulli polynomials and…”
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17
A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions
Published in Mathematical and computational applications (01-06-2019)“…In this paper, we introduce the ρ , q -analog of the p-adic factorial function. By utilizing some properties of ρ , q -numbers, we obtain several new and…”
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18
Novel Properties of q-Sine-Based and q-Cosine-Based q-Fubini Polynomials
Published in Symmetry (Basel) (01-01-2023)“…The main purpose of this paper is to consider q-sine-based and q-cosine-Based q-Fubini polynomials and is to investigate diverse properties of these…”
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Diverse Properties and Approximate Roots for a Novel Kinds of the (p,q)-Cosine and (p,q)-Sine Geometric Polynomials
Published in Mathematics (Basel) (01-08-2022)“…Utilizing p,q-numbers and p,q-concepts, in 2016, Duran et al. considered p,q-Genocchi numbers and polynomials, p,q-Bernoulli numbers and polynomials and…”
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20
On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter
Published in Mathematics (Basel) (23-01-2019)“…We firstly consider the fully degenerate Gould–Hopper polynomials with a q parameter and investigate some of their properties including difference rule,…”
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