A Family of Heat Functions as Solutions of Indeterminate Moment Problems | Zendy

Ricardo Gómez | Zendy; Marcos López-García | Zendy

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A Family of Heat Functions as Solutions of Indeterminate Moment Problems

Author(s) -

Ricardo Gómez,

Marcos López-García

Publication year - 2007

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2007/41526

Subject(s) - indeterminate , mathematics , moment (physics) , laguerre polynomials , construct (python library) , riemann–stieltjes integral , heat equation , discrete mathematics , pure mathematics , mathematical analysis , integral equation , computer science , physics , classical mechanics , programming language

We construct a family of functions satisfying the heat equationand show how they can be used to generate solutions toindeterminate moment problems. The following cases are considered:log-normal, generalized Stieltjes-Wigert, and q-Laguerre

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