Confluent Hypergeometric Function - Connection With Laguerre Polynomials and Similar Representations

Connection With Laguerre Polynomials and Similar Representations

In terms of Laguerre polynomials, Kummer's functions have several expansions, for example

(Erdelyi 1953, 6.12)

Read more about this topic:  Confluent Hypergeometric Function

Famous quotes containing the words connection with, connection and/or similar:

    We say that the hour of death cannot be forecast, but when we say this we imagine that hour as placed in an obscure and distant future. It never occurs to us that it has any connection with the day already begun or that death could arrive this same afternoon, this afternoon which is so certain and which has every hour filled in advance.
    Marcel Proust (1871–1922)

    Self-expression is not enough; experiment is not enough; the recording of special moments or cases is not enough. All of the arts have broken faith or lost connection with their origin and function. They have ceased to be concerned with the legitimate and permanent material of art.
    Jane Heap (c. 1880–1964)

    In the middle of the next century, when the literary establishment will reflect the multicultural makeup of this country and not be dominated by assimiliationists with similar tastes, from similar backgrounds, and of similar pretensions, Langston Hughes will be to the twentieth century what Walt Whitman was to the nineteenth.
    Ishmael Reed (b. 1938)