✦ LIBER ✦

Generating Functions for Ordinary and q-Binomial Coefficients

✍ Scribed by Robert Fray

Publisher: John Wiley and Sons
Year: 1967
Tongue: English
Weight: 282 KB
Volume: 35
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19670350510

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Generalized Binomial Coefficients for Mo

Generalized Binomial Coefficients for Molecular Species

✍ Pierre Auger; Gilbert Labelle; Pierre Leroux 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 351 KB

Let ! be a complex variable. We associate a polynomial in !, denoted ( M N ) ! , to any two molecular species M=M(X) and N=N(X) by means of a binomial-type expansion of the form In the special case M(X)=X m , the species of linear orders of length m, the above formula reduces to the classical binom

A Characterization of Exponential and Or

A Characterization of Exponential and Ordinary Generating Functions

✍ Dan Port 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 314 KB

Generalized Binomial Coefficients and th

Generalized Binomial Coefficients and the Subset–Subspace Problem

✍ John Konvalina 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 150 KB

Generalized binomial coefficients of the first and second kind are defined in terms of object selection with and without repetition from weighted boxes. The combinatorial definition unifies the binomial coefficients, the Gaussian coefficients, and the Stirling numbers and their recurrence relations

Analytical Evaluation of the Plasma Disp

Analytical Evaluation of the Plasma Dispersion Function Using Binomial Coefficients and Incomplete Gamma Functions

✍ B.A. Mamedov 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 78 KB

## Abstract Series expansions are obtained for a plasma dispersion function that appears in the description of smallamplitude waves in very hot plasmas. However, the numerical implementation of this function is required in diverse areas of physics and applied mathematics. An explicit representation

Reflection Coefficients for the Generali

Reflection Coefficients for the Generalized Jacobi Weight Functions

✍ L.B. Golinskii 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 241 KB

In the present paper we study generalized Jacobi weight functions on the unit circle-the simplest weight functions with a finite number of algebraic singularities - and asymptotic behavior of the reflection coefficients associated with them. The real line analogues concerning the recurrence coeffici

Operational Identities and Properties of

Operational Identities and Properties of Ordinary and Generalized Special Functions

✍ G. Dattoli; A. Torre; S. Lorenzutta 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 102 KB