Confluent hypergeometric functions and two variables Laguerre polynomials as a solutions of Wilczynski type system

2016

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DOI 10.1063/1.4959751
Data confidence 70 medium
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Abstract

In this work, it is considered the system of Wilczynski type, and from this system it is defined a range of systems having the solutions in the form of confluent hypergeometric functions and two variables Laguerre polynomials. It is shown that two variables confluent hypergeometric functions being the main tool of investigation of Laguerre polynomials and two variables Whittaker functions. This aspects still remaining little-investigated.