Results 81 to 90 of about 15,530 (193)
On the q-Lie group of q-Appell polynomial matrices and related factorizations
Special Matrices, 2018 In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
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Generalized solutions of the fractional Burger’s equation
Results in Physics, 2019 We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented.
Muhammed I. Syam +4 more
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On Generalized Arakawa–Kaneko Zeta Functions with Parameters a,b,c
International Journal of Mathematics and Mathematical Sciences, 2020 For k∈ℤ, the generalized Arakawa–Kaneko zeta functions with a, b, c parameters are given by the Laplace-Mellin integral ξks,x;a,b,c=1/Γs∫0∞Lik1−ab−t/bt−a−tc−xtts−1dt, where ℜs>0 and x>0 if k≥1, and ℜs>0 and x>k+1 if k≤0.
Nestor G. Acala, Edward Rowe M. Aleluya
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Qubit‐Efficient Quantum Local Search for Combinatorial Optimization
Advanced Quantum Technologies, Volume 9, Issue 3, March 2026.We introduce a qubit‐efficient variational quantum algorithm for combinatorial optimization that adaptively uses from logarithmic to a linear number of qubits to implement quantum local search. The method encodes flip probabilities of spin groups into quantum amplitudes, enabling exploration of classically intractable neighborhoods while maintaining ...
Mikhail Podobrii +4 more
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AxiomsIn this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
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𝑞-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems
Discrete Dynamics in Nature and Society, 2012 The main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli and Genocchi polynomials based on the 𝑞-integers. The 𝑞-analogues of well-known formulas are derived.
N. I. Mahmudov
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Generalized q-Stirling Numbers and Their Interpolation Functions
Axioms, 2013 In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers.
Yilmaz Simsek +2 more
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Generalized Bernoulli numbers and a formula of Lucas
, 2014 An overlooked formula of E. Lucas for the generalized Bernoulli numbers is proved using generating functions. This is then used to provide a new proof and a new form of a sum involving classical Bernoulli numbers studied by K. Dilcher.
Moll, V. H., Vignat, C.
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Statistics in Medicine, Volume 45, Issue 6-7, March 2026.ABSTRACT Introduction In analysis of time‐to‐event outcomes, a mixture cure (MC) model is preferred over a standard survival model when the sample includes individuals who will never experience the event of interest. Motivated by a cohort study of breast cancer patients with incomplete biomarkers, we develop multiple imputation (MI) methods assuming a ...
Changchang Xu +3 more
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A New Approach to
Advances in Difference Equations, 2010 We present a new generating function related to the -Bernoulli numbers and -Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and -Bernstein polynomials.
Açikgöz Mehmet +2 more
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