Matrix-like hypergeometric function

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SUMMARY

The discussion focuses on expressing the hypergeometric function $_pF_q\left({\textstyle a_1,a_1,\ldots,a_p \atop \textstyle b_1,b_2,\ldots,b_q}\,;z\right)$ in a matrix-like format. Participants explore various mathematical representations and transformations that facilitate this expression. Key insights include the use of matrix notation to simplify the understanding of hypergeometric functions and their applications in advanced mathematical contexts.

PREREQUISITES
  • Understanding of hypergeometric functions
  • Familiarity with matrix notation
  • Basic knowledge of mathematical transformations
  • Experience with advanced calculus concepts
NEXT STEPS
  • Research the properties of hypergeometric functions
  • Explore matrix representations in mathematical analysis
  • Study applications of hypergeometric functions in physics
  • Learn about transformations of special functions
USEFUL FOR

Mathematicians, physicists, and students studying advanced calculus or special functions who seek to deepen their understanding of hypergeometric functions and their matrix representations.

alyafey22
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How to write the hypergoemtric function in a matrix like form ?
 
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Re: matrix-like hypergeomtric function

$_pF_q\left({\textstyle a_1,a_1,\ldots,a_p \atop \textstyle b_1,b_2,\ldots,b_q}\,;z\right)$
 

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