On the Recurrence Relation Between Mock Theta Function and Various Partition Functions

In this paper, we present some recurrence relations for partition function p_ω(n) , which is associated with the third order mock theta function ω(q) . We will also find the connection of partition function p_ω(n) with the restricted partition function pld(n) , where pld(n) denote the number of partitions into distinct parts with l copies.