Through this article, we will discuss a new extension of the incomplete Wright hypergeometric matrix function by using extended Pochhammer symbol. First, give generalization and state some integral equations differential formulas about it. Next, obtain results fractional calculus these functions. Finally, an application in kinetic equations.

This paper devoted to the study of incomplete Mittag-Leffler function and some of its properties in terms of incomplete Wright function. 2000 Mathematics Subject Classification: 33E12, 33B15, 11S80.

Making use of the principle of differential subordination, we investigate some inclusion relationships of certain subclasses of multivalent analytic functions associated with the Wright generalized hypergeometric function.

We prove the existence of secondary terms of order X in the Davenport-Heilbronn theorems on cubic fields and 3-torsion in class groups of quadratic fields. For cubic fields this confirms a conjecture of Datskovsky-Wright and Roberts. We also prove a variety of generalizations, including to arithmetic progressions, where we discover a curious bias in the secondary term. Roberts’ conjecture has a...

We derive and apply a partial differential equation for the moment generating function of the Wright-Fisher model of population genetics.

pressure and flow during the forced expiratory manoeuvre. It also breaks a fundamental law of the science of measurement: that units of measurement such as litre per minute should have an absolute definition and meaning. Finally, Dr Wright states that the resistance of the meter has a marked effect on a rigid mechanical flow generator of the type used by us. This is untrue, for our calibration ...