In this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach.
Aimin Xu
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Simultaneous confidence bands for functional data using the Gaussian Kinematic formula. [PDF]
Telschow FJE, Schwartzman A.
europepmc +1 more source
Not only are there operators for studying properties for special numbers and polynomials, but the Volkenborn integral has an equally powerful applications. The aim of this article is to derive new formulas by applying operators and ($p$-adic)the Volkenborn integral to certain families polynomial, especially the Euler polynomials.
openaire +2 more sources
Bernoulli and Euler numbers and orthogonal polynomials
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WEAK SINDy: GALERKIN-BASED DATA-DRIVEN MODEL SELECTION. [PDF]
Messenger DA, Bortz DM.
europepmc +1 more source
Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers. [PDF]
Araci S, Acikgoz M.
europepmc +1 more source
The novel family of transcendental Leal-functions with applications to science and engineering. [PDF]
Vazquez-Leal H +2 more
europepmc +1 more source
Investigating Electromechanical Buckling Response of FG-GPL-Reinforced Piezoelectric Doubly Curved Shallow Shells Embedded in an Elastic Substrate. [PDF]
Al Mukahal FHH, Abazid MA, Sobhy M.
europepmc +1 more source
A Recurrent Neural Network-Based Method for Dynamic Load Identification of Beam Structures. [PDF]
Yang H +4 more
europepmc +1 more source
A Variable Reduction Approach for Microbeams on Elastic Foundation. [PDF]
Previati G, Stabile P, Ballo F.
europepmc +1 more source

