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On the Whittaker Function Extended by the Fox-Wright Function and Its Properties
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DOI：10.3390/math14020273.png)
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Abstract
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This paper aims to obtain the Psi eta xi-extended Whittaker function and its integral representations. This function is defined by using the Psi eta xi-confluent hypergeometric function, which was recently extended in terms of the Fox-Wright function. Furthermore, we discuss properties including a transformation formula, integral transforms (Laplace-Mellin and Hankel transforms), and a differential formula. Our results provide a unified framework for several known generalizations of the Whittaker function and highlight potential applications in applied mathematics and theoretical physics.
Keywords:
extended Whittaker function
xiPsieta-confluent hypergeometric function
extended Beta function
Fox-Wright function
Journal
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2.2
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2.9K
Citations:
3.6W