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Multivariate Bernoulli polynomials

Multivariate Bernoulli polynomials
We introduce a multivariate analogue of Bernoulli polynomials and give their fundamental properties : difference and differential relations, symmetry, explicit formula, inversion formula, multiplication theorem, and binomial type formula. Further, we consider a multivariate analogue of the multiple Bernoulli polynomials and give their fundamental ...
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Enhancing wellbore stability through machine learning for sustainable hydrocarbon exploitation. [PDF]

Sci Rep
Mahetaji M, Brahma J.
europepmc   +1 more source

Collocation method for solving fractional reaction-diffusion problem arising in chemistry. [PDF]

Sci Rep
Rashidinia J, Momeni A.
europepmc   +1 more source

Residual power series scheme treatments for fractional Klein-Gordon problem arising in soliton theory. [PDF]

Sci Rep
Rida SZ, Arafa AAM, Hussein HS, Ameen IG, Mostafa MMM.   +4 more
europepmc   +1 more source

Analytical technique and diverse chaos-identifying tools for the time fractional symmetric regularized long wave equation. [PDF]

Sci Rep
Ullah MS, Hasan MM, Mahbub MA.
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ApproximateSecret Sharing in Field of Real Numbers. [PDF]

Entropy (Basel)
Wan J, Wang Z, Yu Y, Yan X.
europepmc   +1 more source

Machine Learning Methods for Protein-Protein Interaction Prediction Based on Noncovalent Interactions. [PDF]

ACS Omega
Feng H, Sun X, Li Q, Zhang S, Xing G, Zhang G, Wang F.   +6 more
europepmc   +1 more source

Bernoulli Principle in Ferroelectrics. [PDF]

Nanomaterials (Basel)
Razumnaya A, Tikhonov Y, Naidenko D, Linnik E, Lukyanchuk I.   +4 more
europepmc   +1 more source

Phenomenological Modeling of Shape Memory Alloys: A Review of Macroscopic Approaches. [PDF]

Micromachines (Basel)
Costanza G, Tata ME, Barforooshi SD.
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Bernoulli and euler polynomials

, 2013
ABSTRACT: This thesis provides an overview of Bernoulli and Euler numbers. It describes the Bernoulli and Euler polynomials and investigates the relationship between the classes of the two polynomials. It also discusses some important identities using the _nite di_erence calculus and di_erentiation.
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