Symmetric Identities of Hermite-Bernoulli Polynomials and Hermite-Bernoulli Numbers Attached to a Dirichlet Character <i>χ</i> by Serkan Araci, Waseem Ahmad Khan, Kottakkaran Sooppy Nisar

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On Generalized Bivariate (<i>p</i>,<i>q</i>)-Bernoulli–Fibonacci Polynomials and Generalized Bivariate (<i>p</i>,<i>q</i>)-Bernoulli–Lucas Polynomials by Hao Guan, Waseem Ahmad Khan, Can Kızılateş

Subjects: “…<i>q</i>-Bernoulli numbers…”
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A new class of higher order hypergeometric Bernoulli polynomials associated with Hermite polynomials by Waseem Ahmad Khan

“… In this paper, we introduce new class of higher order hypergeometric Hermite-Bernoulli numbers and polynomials. We shall provide several properties of higher order hypergeometric Hermite-Bernoulli polynomials including summation formulae, sums of products identity, recurrence relations. …”
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A Note on Degenerate Catalan-Daehee Numbers and Polynomials by Waseem Ahmad Khan, Maryam Salem Alatawi, Ugur Duran

“…Moreover, we show the expressions of the degenerate Catalan–Daehee numbers in terms of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-Daehee numbers, Stirling numbers of the first kind and Bernoulli polynomials, and we also obtain a relation covering the Bernoulli numbers, the degenerate Catalan–Daehee numbers and Stirling numbers of the second kind. …”
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Some Identities with Multi-Generalized <i>q</i>-Hyperharmonic Numbers of Order <i>r</i> by Zhihua Chen, Neşe Ömür, Sibel Koparal, Waseem Ahmad Khan

“…Additionally, one of the applications is the sum involving <i>q</i>-Stirling numbers and <i>q</i>-Bernoulli numbers.…”
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Diverse Properties and Approximate Roots for a Novel Kinds of the (<i>p</i>,<i>q</i>)-Cosine and (<i>p</i>,<i>q</i>)-Sine Geometric Polynomials by Sunil Kumar Sharma, Waseem Ahmad Khan, Cheon-Seoung Ryoo, Ugur Duran

“…Utilizing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="(" close=")"><mi>p</mi><mo>,</mo><mi>q</mi></mfenced></semantics></math></inline-formula>-numbers and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="(" close=")"><mi>p</mi><mo>,</mo><mi>q</mi></mfenced></semantics></math></inline-formula>-concepts, in 2016, Duran et al. considered <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="(" close=")"><mi>p</mi><mo>,</mo><mi>q</mi></mfenced></semantics></math></inline-formula>-Genocchi numbers and polynomials, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="(" close=")"><mi>p</mi><mo>,</mo><mi>q</mi></mfenced></semantics></math></inline-formula>-Bernoulli numbers and polynomials and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mfenced separators="" open="(" close=")"><mi>p</mi><mo>,</mo><mi>q</mi></mfenced></semantics></math></inline-formula>-Euler polynomials and numbers and provided multifarious formulas and properties for these polynomials. …”
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