An integral transform related to quantization. II. Some mathematical properties

1983 ◽  
Vol 24 (2) ◽  
pp. 239-254 ◽  
Author(s):  
I. Daubechies ◽  
A. Grossmann ◽  
J. Reignier
Keyword(s):  
Integral Transform ◽  
Mathematical Properties

scholarly journals Mathematical Aspects of Krätzel Integral and Krätzel Transform

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 526 ◽  
Author(s):  
Arak M. Mathai ◽  
Hans J. Haubold
Keyword(s):  
Integral Transform ◽  
Statistical Distributions ◽  
The Real ◽  
Real Scalar ◽  
Mathematical Properties ◽  
Scalar Variable ◽  
Krätzel Integral

A real scalar variable integral is known in the literature by different names in different disciplines. It is basically a Bessel integral called specifically Krätzel integral. An integral transform with this Krätzel function as kernel is known as Krätzel transform. This article examines some mathematical properties of Krätzel integral, its connection to Mellin convolutions and statistical distributions, its computable representations, and its extensions to multivariate and matrix-variate cases, in both the real and complex domains. An extension in the pathway family of functions is also explored.

CONVERGENCE ACCELERATION OF INTEGRAL TRANSFORM SOLUTIONS

2001 ◽  
Vol 3 (1) ◽  
pp. 6
Author(s):  
Mikhail D. Mikhailov ◽  
Renato M. Cotta
Keyword(s):  
Integral Transform ◽  
Convergence Acceleration
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