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math.CA2018
Orthogonal polynomials with ultra-exponential weight functions: an explicit solution to the Ditkin-Prudnikov problem
Semyon Yakubovich
New sequences of orthogonal polynomials with ultra-exponential weight functions are discovered. In particular, it gives an explicit solution to the Ditkin-Prudnikov problem (1966).…
math.CA2018★ 38 cited
On the product formula and convolution associated with the index Whittaker transform
Rúben Sousa, Manuel Guerra, Semyon Yakubovich
We deduce a product formula for the Whittaker function whose kernel does not depend on the second parameter. Making use of this formula, we define the positivity-preserving con…