Abel’s and Related Integral Equations

2000 ◽  
pp. 43-69
Author(s):  
Ricardo Estrada ◽  
Ram P. Kanwal
Keyword(s):  
Integral Equations ◽  
Related Integral

scholarly journals Addition Formula and Related Integral Equations for Heine—Stieltjes Polynomials

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1231
Author(s):  
Hans Volkmer
Keyword(s):  
Integral Equations ◽  
Explicit Form ◽  
Spherical Harmonics ◽  
Reproducing Kernel ◽  
Addition Formula ◽  
Symmetric Products ◽  
Special Cases ◽  
Related Integral ◽  
Generalized Spherical Harmonics ◽  
The Relationship

It is shown that symmetric products of Heine–Stieltjes quasi-polynomials satisfy an addition formula. The formula follows from the relationship between Heine–Stieltjes quasi-polynomials and spaces of generalized spherical harmonics, and from the known explicit form of the reproducing kernel of these spaces. In special cases, the addition formula is written out explicitly and verified. As an application, integral equations for Heine–Stieltjes quasi-polynomials are found.

scholarly journals On an integral transform

1986 ◽  
Vol 9 (2) ◽  
pp. 283-292 ◽  
Author(s):  
D. Naylor
Keyword(s):  
Bessel Function ◽  
Integral Equations ◽  
Inversion Formula ◽  
Integral Transform ◽  
Zero Order ◽  
Convolution Type ◽  
Type Integral ◽  
Related Integral

This paper establishes properties of a convolution type integral transform whose kernel is a Macdonald type Bessel function of zero order. An inversion formula is developed and the transform is applied to obtain the solution of some related integral equations.

scholarly journals Gaussian Markov expectations and related integral equations

1971 ◽  
Vol 37 (2) ◽  
pp. 303-317 ◽  
Author(s):  
John Beekman ◽  
Ralph Kallman
Keyword(s):  
Integral Equations ◽  
Related Integral
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