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msc:notes:special-functions-muzammil-tanveer [2021/02/28 16:56] – [Download or View online] Administrator | msc:notes:special-functions-muzammil-tanveer [2023/07/23 16:48] (current) – removed Administrator | ||
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- | ====== Special Functions by Dr. Muhey-U-Din ====== | ||
- | These notes are provided and composed by Mr. [[: | ||
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- | ^ Name |Special Functions | ||
- | ^ Provider | ||
- | ^Lectured by |Dr. Muhey-U-Din | | ||
- | ^ Pages |119 pages | | ||
- | ^ Format | ||
- | ^ Size |853 kB | | ||
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- | ====Contents & Summary==== | ||
- | * Gamma Function | ||
- | * Some Properties of Gamma Function | ||
- | * Beta Function | ||
- | * Duplication Formula | ||
- | * Hypergeometric Function | ||
- | * Historical Background of Hypergeometric Function | ||
- | * Hypergeometric function of one variable | ||
- | * Hypergeometric equation | ||
- | * Symmetric property of Hypergeometric Function | ||
- | * Differentiation of Hypergeometric Function | ||
- | * Integral representation of Hypergeometric Function | ||
- | * Gauss Theorem | ||
- | * Pochhammer symbol | ||
- | * Confluent Hypergeometric Differential Equation | ||
- | * Solution of Confluent Hypergeometric function | ||
- | * Recurrence relation of Confluent Hypergeometric function | ||
- | * Differentiation of Confluent Hypergeometric function | ||
- | * Integral representation of Confluent Hypergeometric function | ||
- | * Kummer’s Relation | ||
- | * Application of Confluent Hypergeometric function | ||
- | * Hermite’s Equation | ||
- | * Solution of Hermite’s Equation | ||
- | * Recurrence relation of Hermite equation | ||
- | * Generation function of Hermite polynomials | ||
- | * Orthogonality property | ||
- | * Laguerre’s Function | ||
- | * Generating function for Laguerre’s polynomial | ||
- | * Bessel’s Function | ||
- | * Solution of Bessel’s Differential Equation | ||
- | * Recurrence formula of Bessel Function | ||
- | * Rodrigues Formula | ||
- | * Special results involving Legendre polynomial | ||
- | * Legendre’s Equation | ||
- | * Solution of Legendre’s Equation | ||
- | * Some Modern Special Functions | ||
- | * Wright Function | ||
- | * Normalized form of Wright Function | ||
- | * Mittag-Leffler Function | ||
- | * Normalized form of Mittag-Leffler Function | ||
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- | ====Notes of other subjects==== | ||
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