### Abstract

We derive an analog of the Cauchy-Hadamard formula for certain polynomial expansions and consider some examples.

Original language | English (US) |
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Title of host publication | THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS |

Publisher | Springer New York LLC |

Pages | 443-460 |

Number of pages | 18 |

ISBN (Print) | 0387242317, 9780387242316 |

DOIs | |

State | Published - 2005 |

### Publication series

Name | Developments in Mathematics |
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Volume | 13 |

ISSN (Print) | 1389-2177 |

### Keywords

- Basic hypergeometric functions
- Continuous Q-hermite polynomials
- Continuous Q-ultraspherical polynomials
- Q-orthogonal polynomials
- Taylor's series and its generalizations
- The askey-wilson polynomials
- The chebyshev polynomials
- The jacobi polynomials

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Suslov, S. (2005). An analog of the cauchy-hadamard formula for expansions in Q-polynomials. In

*THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS*(pp. 443-460). (Developments in Mathematics; Vol. 13). Springer New York LLC. https://doi.org/10.1007/0-387-24233-3_20