====== Special Functions by Dr. Muhey-U-Din ======

These notes are provided and composed by Mr. [[:people:muzammil]]. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. Thease notes are based on the lectures by Dr. Muhey-U-Din.
{{ notes:special-functions-muzammil-tanveer.jpg?nolink|Special Functions}}

^ Name  |Special Functions  |
^ Provider  |Mr. Muzammil Tanveer  |
^Lectured by |Dr. Muhey-U-Din |
^ Pages  |119 pages  |
^ Format  |PDF (see [[::software]] section for PDF Reader) | 
^ Size  |853 kB  |

====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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