Srivastava, H. M.Sekar, BilalEker, Sevtap SumerCekic, Bilal2024-04-242024-04-2420231345-47731880-5221https://hdl.handle.net/11468/20491In this paper, we introduce and investigate a new generalization of the Poisson distribution by using a special function of the Mittag-Leffler type, which has arisen in the study of fractional calculus and fractional differential equations. For this class of Poisson type distributions based upon a two-parameter Mittag-Leffler type function, we derive several potentially useful properties including, for example, expressions for the rth moment and other associated entities.eninfo:eu-repo/semantics/closedAccessHypergeometric FunctionsConfluent Hypergeometric FunctionsMittag-Leffler Type FunctionsPoisson DistributionProbability Mass FunctionExpected Value And VarianceMomentsA CLASS OF POISSON DISTRIBUTIONS BASED UPON A TWO-PARAMETER MITTAG-LEFFLER TYPE FUNCTIONA CLASS OF POISSON DISTRIBUTIONS BASED UPON A TWO-PARAMETER MITTAG-LEFFLER TYPE FUNCTIONArticle242475485WOS:0010372678000132-s2.0-85164735169Q1N/A