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On a Polynomial Basis Generated from the Generalized Kolosov–Muskhelishvili Formulae

✍ Scribed by S. Bock; K. Gürlebeck

Book ID
105751445
Publisher
Springer
Year
2009
Tongue
English
Weight
302 KB
Volume
19
Category
Article
ISSN
0188-7009

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📜 SIMILAR VOLUMES

On a spatial generalization of the Kolos
On a spatial generalization of the Kolosov–Muskhelishvili formulae
✍ S. Bock; K. Gürlebeck 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 149 KB

## Abstract The main goal of this paper is to construct a spatial analog to the __Kolosov–Muskhelishvili formulae__ using the framework of the hypercomplex function theory. We prove a generalization of __Goursat's representation theorem__ for solutions of the biharmonic equation in three dimensions

A generalized formula for the integral o
A generalized formula for the integral of three associated Legendre polynomials
✍ H.A. Mavromatis; R.S. Alassar 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 253 KB

In this paper, a generalized formula for the definite integral of three associated Legendre polynomials of the first kind that arises in various physical applications is given in terms of the 3F2 hypergeometric function and the 3 -j symbols. The special case, when the integral reduces to a particula