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Functional equations with distortion and certain q-special functions

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Abstract.

We show how some well-known q-special functions arise as solutions to analogue functional and difference equations using a doubly-indexed collection of algebras of formal power series type and the notion of distortion.

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Authors and Affiliations

  1. Department of Mathematics, Florida International, University, Miami, Florida 33199, USA , , , , , , US

    R. L. Rubin

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  1. R. L. Rubin
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Received: November 11, 1997; revised version: January 26, 1999.

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Rubin, R. Functional equations with distortion and certain q-special functions. Aequ. math. 59, 38–44 (2000). https://doi.org/10.1007/PL00000126

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  • DOI: https://doi.org/10.1007/PL00000126

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