Results 51 to 60 of about 7,852 (179)

General Convolution Identities for Bernoulli and Euler Polynomials

, 2015
Using general identities for difference operators, as well as a technique of symbolic computation and tools from probability theory, we derive very general kth order (k \ge 2) convolution identities for Bernoulli and Euler polynomials.
Dilcher, K., Vignat, C.
core   +3 more sources

A Conversation With David Bellhouse

International Statistical Review, EarlyView.
Summary David Richard Bellhouse was born in Winnipeg, Manitoba, on 19 July 1948. He studied actuarial mathematics and statistics at the University of Manitoba (BA, 1970; MA, 1972) and completed his PhD at the University of Waterloo, Ontario, in 1975. After being an Assistant Professor for 1 year at his alma mater, he joined the University of Western ...
Christian Genest
wiley   +1 more source

A note on degenerate poly-Genocchi numbers and polynomials

Advances in Difference Equations, 2020
Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
doaj   +1 more source

Derivatives of tangent function and tangent numbers

, 2015
In the paper, by induction, the Fa\`a di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the tangent and cotangent functions as well as powers of the sine and ...
Bourbaki, Boyadzhiev, Comtet, Daboul, Dominici, Feng Qi, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Hoffman, Hoffman, Luo, Luo, Ma, Ma, Ma, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Qi, Remmert, Schwatt, Schwatt, Wei, Xu, Zhang   +37 more
core   +1 more source

Experimental Design and Predictive Modeling of Hybrid Jute/Kenaf/Glass Fiber Polymer Composites With SiC Nanoparticles for Enhanced Flexural and Hardness Performance

Engineering Reports, Volume 8, Issue 3, March 2026.
Hybrid composites of jute, kenaf, and glass fibers with SiC nanoparticles were optimized using RSM and ANN. Optimal configuration improved flexural strength by 18% and hardness by 32%, demonstrating machine‐learning‐guided design for superior structural performance.
Solairaju Jothi Arunachalam, R. Saravanan, Sathish Thanikodi, G. Vinuja, Feras Alnaimat, A. Anderson, A. Johnson Santhosh   +6 more
wiley   +1 more source

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +1 more source

Truncated Fubini Polynomials

Mathematics, 2019
In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property.
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

Lagrangian Acceleration as a Diagnostic for Wave Breaking in the Nearshore Zone

Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.
Abstract This study focuses on evaluating the Lagrangian downward acceleration of fluid particles near the wavecrest as a dynamic criterion for identification of wave breaking in shallow water. The use of the downward acceleration as an indicator for wave breaking goes back to the work of Longuet‐Higgins (1963), https://doi.org/10.1017 ...
Rosa Maria Vargas‐Magaña, Henrik Kalisch, Marc Buckley, Maria Bjørnestad, Tessa Gronemann, Karoline Holand, Jochen Horstmann, Michael Streßer, Sébastien Fromenteau   +8 more
wiley   +1 more source

Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

Comptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj   +1 more source

Some identities related to degenerate r-Bell and degenerate Fubini polynomials

Applied Mathematics in Science and Engineering, 2023
Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
doaj   +1 more source