I am looking for lower and (primarily) upper bounds on the Confluent Hypergeometric Limit Function ${}_0F_1$


for negative, real values of $z$. For more information, see https://en.wikipedia.org/wiki/Generalized_hypergeometric_function#The_series_0F1

I have found some nontrivial bounds of the ${}_{q+1}F_q$ family, and in particular, of the Hypergeometric Function ${}_2F_1$, in the following paper https://arxiv.org/pdf/math/0703084.pdf. My question is, does there exist similar bounds as, for instance, Eq. (4) in the reference provided, but for the Confluent Hypergeometric Limit Function? In such case, which are those bounds?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.