A FINITE-DIFFERENCE APPROACH TO DEGENERATE BERNOULLI AND STIRLING POLYNOMIALS

被引：21

作者：

ADELBERG, A ^{[1
]}

机构：

[1] GRINNELL COLL,DEPT MATH & COMP SCI,GRINNELL,IA 50112

来源：

DISCRETE MATHEMATICS | 1995年 / 140卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(93)E0188-A

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting with divided differences of binomial coefficients, a class of multivalued polynomials (three parameters), which includes Bernoulli and Stirling polynomials and various generalizations, is developed. These carry a natural and convenient combinatorial interpretation. Calculation of particular values of the polynomials yields some binomial identities. Properties of the polynomials are established and several factorization results are proven and conjectured.

引用

页码：1 / 21

页数：21

共 50 条

[41] THEORY AND APPLICATION OF BERNOULLI-NORDLUND POLYNOMIALS AND CERTAIN GENERALIZATIONS OF BERNOULLI AND STIRLING NUMBERS
SCHMIDT, H
ARCHIV DER MATHEMATIK, 1980, 33 (04) : 364 - 374
[42] STABILITY OF A FINITE-DIFFERENCE SCHEME OR SOLVING CAUCHY PROBLEM FOR A DEGENERATE HYPERBOLIC EQUATION
KOKOSHKEVICH, A
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1971, 19 (06): : 511 - +
[43] A connection between Jacobi-Stirling numbers and Bernoulli polynomials
Merca, Mircea
JOURNAL OF NUMBER THEORY, 2015, 151 : 223 - 229
[44] FINITE-DIFFERENCE APPROACH TO LONG-RANGE INTERACTIONS
STEWART, RF
WEBSTER, BC
CHEMICAL PHYSICS LETTERS, 1973, 19 (03) : 462 - 464
[45] MULTIVARIABLE APPROACH TO FINITE-DIFFERENCE SOLUTION OF ELASTOPLASTIC PROBLEMS
BROWN, DK
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1976, 10 (02) : 361 - 377
[46] AN EXPLICIT FINITE-DIFFERENCE APPROACH FOR THE MINDLIN PLATE ANALYSIS
ASSADILAMOUKI, A
KRAUTHAMMER, T
COMPUTERS & STRUCTURES, 1989, 31 (04) : 487 - 494
[47] A FINITE-DIFFERENCE APPROACH FOR THE CALCULATION OF PERTURBED OSCILLATOR ENERGIES
FACK, V
VANDENBERGHE, G
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (17): : 3355 - 3363
[48] FINITE-DIFFERENCE APPROACH TO HODGE THEORY OF HARMONIC FORMS
DODZIUK, J
AMERICAN JOURNAL OF MATHEMATICS, 1976, 98 (01) : 79 - 104
[49] EXTENDED DEGENERATE STIRLING NUMBERS OF THE SECOND KIND AND EXTENDED DEGENERATE BELL POLYNOMIALS
Kim, Taekyun
Kim, Dae San
Jang, Lee-Chae
Kwon, Hyuck-In
UTILITAS MATHEMATICA, 2018, 106 : 11 - 21
[50] Numerical dispersion reduction approach for finite-difference methods
Chen, Guangzhi
Yang, Shunchuan
Ren, Qiang
Cui, Shuo
Su, Donglin
ELECTRONICS LETTERS, 2019, 55 (10) : 591 - 592

← 1 2 3 4 5 →