On Hermite-tricomi Functions of the Single Complex Variable
نویسنده
چکیده
In this paper, we define a new kind of the hypergeometric function, say, Hermite-Tricomi functions. An explicit representation, recurrence relations for the Hermite-Tricomi functions are given and differential equations satisfied them is presented. A new expansions of the exponential for a wide class of functions, whose properties, including recurrences, addition theorems, generating functions etc. in terms of Hermite-Tricomi functions are studied in detail.
منابع مشابه
Generating Relations of Hermite–tricomi Functions Using a Representation of Lie Algebra
Motivated by recent studies of the properties of new classes of polynomials constructed in terms of quasi-monomials, certain generating relations involving Hermite–Tricomi functions are obtained. To accomplish this we use the representation Q(w,m0) of the 3-dimensional Lie algebra T3. Some special cases are also discussed. 2000 Mathematics Subject Classification: 33C45, 33C50, 33C80.
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