Summing up of functional series by the technique of finite integral transform of the type Hankel 2nd kind (Lebedev) 2nd kind (Q2753497)
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scientific article; zbMATH DE number 1670310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Summing up of functional series by the technique of finite integral transform of the type Hankel 2nd kind (Lebedev) 2nd kind |
scientific article; zbMATH DE number 1670310 |
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11 November 2001
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differential equation
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Hankel transform
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Lebedev transform
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hybrid transform
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series summation
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Summing up of functional series by the technique of finite integral transform of the type Hankel 2nd kind (Lebedev) 2nd kind (English)
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Solution of a boundary value problem for a separable system of Bessel differential equations (with degeneration at the leading derivative and with degeneration in lower-order terms) is constructed using two methods. In one of them the technique of the Cauchy functions is used. The other method uses a finite hybrid integral transform of the Hankel 2nd kind (Lebedev) 2nd kind type. Comparison of the two solutions enables one to sum up a polyparametric family of functional series containing Bessel functions.
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