Results 31 to 40 of about 796,849 (91)
A note on degenerate Hermite poly-Bernoulli numbers and polynomials [PDF]
Journal of Classical Analysis, 2016 Summary: In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions.
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Fully degenerate poly-Bernoulli polynomials with a q parameter
Filomat, 2016 In this paper, we consider the fully degenerate poly-Bernoulli polynomials with a q parameter. We present several properties, explicit formulas and recurrence relations for these polynomials by using the technique of umbral calculus.
Dae Kim +3 more
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Fully degenerate poly-Bernoulli numbers and polynomials
, 2015 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and investigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
Kim, Dae San, Kim, Taekyun
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On bi-variate poly-Bernoulli polynomials
, 2022 We introduce poly-Bernoulli polynomials in two variables by using ageneralization of Stirling numbers of the second kind that we studied in aprevious work.
Pita-Ruiz, Claudio, Claudio Pita-Ruiz
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A Note on Type 2 Degenerate Multi-Poly-Bernoulli Polynomials and Numbers
, 2020 Inspired by the definition of degenerate multi-poly-Genocchi polynomials given by using the degenerate multi-polyexponential functions. In this paper, we consider a class of new generating function for the degenerate multi-poly-Bernoulli polynomials, called the type 2 degenerate multi-poly-Bernoulli polynomials by means of the degenerate multiple ...
Waseem A Khan, Aysha Khan, Ugur Duran
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Explicit relations on the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials and numbers [PDF]
, 2023 The main aim of this paper is to introduce and investigate the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials by using monomiality principle and operational methods.
Burak Kurt
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Quantum Spectral Clustering Framework via Compact Circuit Structures
Advanced Quantum Technologies, Volume 9, Issue 10, October 2026.Can a quantum computer cluster data without ever reading the full kernel? This work shows that compact, parameterized circuits estimate the Laplacian quadratic forms directly and perform clustering, without explicitly constructing the full quantum fidelity‐kernel matrix.
Hyeong‐gyu Kim +2 more
wiley +1 more source
Recycling of Thermoplastics with Machine Learning: A Review
Advanced Functional Materials, Volume 36, Issue 3, 8 January 2026.This review shows how machine learning is revolutionizing mechanical, chemical, and biological pathways, overcoming traditional challenges and optimizing sorting, efficiency, and quality. It provides a detailed analysis of effective feature engineering strategies and establishes a forward‐looking research agenda for a truly circular thermoplastic ...
Rodrigo Q. Albuquerque +5 more
wiley +1 more source
POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
, 2011 In this paper we investigate special generalized Bernoulli polynomials that generalize classical Bernoulli polynomials and numbers. We call them poly-Bernoulli polynomials. We prove a collection of extremely important and fundamental identities satisfied
Hamahata, Yoshinori +5 more
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Some Identities of the Probabilistic Changhee Polynomials and Their Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.Special numbers and polynomials are very important tools in diverse fields such as mathematics, physics, engineering, science, and related disciplines, addressing problems in areas like mathematical physics, numerical analysis, differential equations, fluid dynamics, and quantum mechanics.
Jin-Woo Park +4 more
wiley +1 more source