Regularized hypergeometric function in Matlab

Hello everyone,

I would like to implement the value of a regularized hypergeometric function : .

I don't know how to write it in Matlab : For instance, I know that the regularized confluent hypergeometric function is written like this :

=

hypergeom(a,b,c)/gamma(b);

But when the a vector is empty how do we write the regularized form ?

The generalized form in my case should be something like :

hypergeom([],b,c);

Anyone for help please ?

Thank you.

Answer 1

[Walter Roberson]

syms k

desired = hypergeom([], 2, 1/(4*k))

desired = 

[Wissem]

@Walter Roberson Ok : so you rewrite it as a bessel function ? Thank you for your help. But is there a direct way to implement regularized function ?

[Walter Roberson]

syms b c
desired = hypergeom([], b, c) / gamma(b)

desired = 

[Wissem]

@Walter Roberson Thank you for your help