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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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| - | ==== Download or View online ==== | ||
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| - | ====Notes of other subjects==== | ||
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