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01/2019, ISBN 9783039216215
.... Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials... 
eBook
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 7/2019, Volume 113, Issue 3, pp. 2913 - 2920
Here we consider the degenerate Bernstein polynomials as a degenerate version of Bernstein polynomials, which are motivated by Simsek’s recent work... 
11B83 | Theoretical, Mathematical and Computational Physics | Degenerate Bernstein polynomials | Generating functions | Mathematics, general | Mathematics | Bernoulli polynomials | Applications of Mathematics | Stirling numbers | MATHEMATICS | Mathematical analysis | Polynomials | Combinatorial analysis
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2016, Volume 274, pp. 258 - 266
We present several explicit formulas and recurrence relations for the degenerate Mittag-Leffler polynomials... 
Falling factorial polynomials | Frobenius–Euler polynomials | Bernoulli polynomials | Umbral calculus | Degenerate Mittag-Leffler polynomials | Frobenius-Euler polynomials | MATHEMATICS, APPLIED | EULER POLYNOMIALS
Journal Article
International journal for numerical methods in engineering, ISSN 0029-5981, 2018, Volume 115, Issue 6, pp. 738 - 755
Journal Article
Science China. Mathematics, ISSN 1869-1862, 2018, Volume 62, Issue 5, pp. 999 - 1028
In this paper, we derive five basic identities for Sheffer polynomials by using generalized Pascal functional and Wronskian matrices... 
11B83 | 05A40 | degenerate Bernoulli polynomial | Krobov polynomial of the first kind | 05A19 | Mathematics | generalized Pascal functional matrix | Applications of Mathematics | Wronskian matrix | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 06/2018, Volume 68, Issue 3, pp. 527 - 536
We define a truncated Euler polynomial ) as a generalization of the classical Euler polynomial... 
Secondary 11B83, 11B37, 05A15, 05A19 | truncated Euler polynomials | Bernoulli polynomials | Primary 11B68 | Euler polynomials | hypergeometric Bernoulli polynomials | Polynomials
Journal Article
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 4/2017, Volume 111, Issue 2, pp. 435 - 446
Recently, several authors have studied the degenerate Bernoulli and Euler polynomials and given some intersting identities of those polynomials... 
11B83 | Degenerate Bell numbers and polynomials | Theoretical, Mathematical and Computational Physics | 11B73 | Mathematics, general | 05A19 | Mathematics | Degenerate Stirling numbers of the second kind | Applications of Mathematics | 11B37 | MATHEMATICS | BERNOULLI NUMBERS
Journal Article
The Ramanujan journal, ISSN 1572-9303, 2018, Volume 50, Issue 1, pp. 195 - 209
Journal Article
中国科学:数学英文版, ISSN 1674-7283, 2015, Volume 58, Issue 10, pp. 1 - 10
We investigate Bell polynomials, also called Touchard polynomials or exponential polynomials, by using and without using umbral calculus... 
恒等式 | 指数多项式 | 阶乘 | Bell多项式 | 贝尔 | 伯努利多项式 | 哑演算 | 柯西 | 11B83 | 05A40 | umbral calculus | Cauchy polynomial | 11B73 | higher-order Bernoulli polynomial | 05A19 | Mathematics | Applications of Mathematics | Bell-polynomial | poly-Bernoulli polynomial | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Abstract and applied analysis, ISSN 1085-3375, 03/2010, Volume 2010, pp. 1 - 12
The main object of this paper is to construct a new generating function of the (q-) Bernstein-type polynomials... 
MATHEMATICS | MATHEMATICS, APPLIED | CONVERGENCE | TWISTED (H | APPROXIMATION | Q)-BERNOULLI NUMBERS | Studies | Binomial distribution | Polynomials | Numerical analysis | Derivatives | Computer graphics
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 5/2018, Volume 46, Issue 1, pp. 103 - 117
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 08/2016, Volume 12, Issue 5, pp. 1259 - 1271
Let p > 3 be a prime, and let a be a rational p -adic integer. Let { B n } and { B n ( x ) } denote the Bernoulli numbers and Bernoulli polynomials given by B 0... 
Euler number | Bernoulli polynomial | Congruence | MATHEMATICS | SEQUENCE | CONGRUENCES INVOLVING BERNOULLI | EULER NUMBERS
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 7/2015, Volume 12, Issue 3, pp. 679 - 695
In this paper, we introduce a new class of generalized Hermite–Bernoulli polynomials and derive some implicit summation formulae and symmetric identities by applying the generating functions... 
33C45 | Hermite–Bernoulli polynomials | summation formulae | 33C99 | Mathematics, general | Mathematics | Bernoulli polynomials | Hermite polynomials | symmetric identities | MATHEMATICS | MATHEMATICS, APPLIED | Hermite-Bernoulli polynomials
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 08/2014, Volume 25, Issue 8, pp. 627 - 633
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 476, Issue 2, pp. 569 - 584
We show that each member of a doubly infinite sequence of highly nonlinear expressions of Bernoulli polynomials, which can be seen as linear combinations of certain higher-order convolutions... 
Bernoulli polynomials | Eulerian polynomials | Bernoulli numbers | Convolution identities | MATHEMATICS | MATHEMATICS, APPLIED | Probability | Mathematics
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 03/2018, Volume 14, Issue 2, pp. 595 - 613
We relate geometric polynomials and [Formula: see text]-Bernoulli polynomials with an integral representation, then obtain several properties of [Formula: see text... 
finite summation | p-Bernoulli polynomial | Bernoulli polynomial | geometric polynomial | poly-Bernoulli polynomial
Journal Article
Journal Article
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