scholarly journals New Inversion Techniques for Some Integral Transforms via the Generalized Product Theorem of the Mellin Transform

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Alireza Ansari ◽  
Mohammadreza Ahmadi Darani
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Mellin Transform ◽  
Singular Integral Equations ◽  
Integral Transforms ◽  
Product Theorem ◽  
Inversion Techniques

We introduce the generalized product theorem for the Mellin transform, and we solve certain classes of singular integral equations with kernels coincided with conditions of this theorem. Also, new inversion techniques for the Wright, Mittag-Leffler, Stieltjes, and Widder potential transforms are obtained.

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna

Singular integral equations in the bound-state problem

1965 ◽  
Vol 35 (3) ◽  
pp. 913-932 ◽  
Author(s):  
G. Cosenza ◽  
L. Sertorio ◽  
M. Toller
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Methods of solution of singular integral equations

2012 ◽  
Vol 6 (1) ◽  
pp. 15 ◽  
Author(s):  
Aloknath Chakrabarti ◽  
Subash Chandra Martha
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations
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