International Journals of Multidisciplinary
Research Academy (IJMRA)

Abstract:
In the applied sciences, different essential limits are represented by means of no recommended integrals or series or restricted things. These fundamental limits are commonly known as critical cutoff points. In the amazing limit, as far as possible (the Bessel limit), most of it is used in real science and planning; As a result, he has a great influence on physicists and specialists as well as mathematicians. In the subsequent year, a surprisingly vast number of severe conditions have been created, including a mixture of unusual breaking points. The Bessel limit 〖J 〗_(v,p,q ) (z), which is given to the extent that Hadamard deduced the (p, q)-extended Gauss hypergeometric limit and the Fox-Wright limit (z) Have given. , Various attractive expression positions of our focal results are also considered. Likewise, it turns around that the results presented here, which are clearly surprising series, may reveal their strange properties through 2 known features in their typical Hadamard thing
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