this article is devoted to study of the autoconvolution equations and generalized mittag-leffler functions. these types of equations are given in terms of the laplace transform convolution of a function with itself. we state new classes of the autoconvolution equations of the first kind and show that the generalized mittag-leffler functions are solutions of these types of equations. in view of ...

let a(p) denote the class of functions which are analytic in the open unit disk u. by making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.

in [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.also, we exhibited the topic of limit summability of real functions in [2,3]. inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. finally, we pose an unsolved problem aboutthem.

in the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.

a new derivation of the quantum boltzmann transport equation for the fermion system from the quantum time evolution equation for the wigner distribution function is presented. the method exhibits the origin of the time - irreversibility of the boltzmann equation. in the present work, the spin dependent and indistinguishibility of particles are also considered.

legal practice of taking these constraintsincluding insanity-into consideration was the attempt to understand the actions of criminals from their own point of view. The crime committed under insanity thus became an understandable act, and the insane criminal became an individual whose motivation and will were fathomable. Rather than simply labelling the insane with the stereotypes of madness or...

The hippocampus is crucial for the formation of memories of facts and episodes (Scoville and Milner 1957; Jarrard 1993; Squire et al. 2004; Burgess et al. 2002). In storing the contents of a specific episode, the hippocampus must rapidly form and maintain representations of the temporal and spatial relationship of events and keep these representations distinct, allowing similar episodes to be d...

Having, as it is generally agreed, failed to destroy the computational conception of mind with the Gödelian attack he articulated in his The Emperor’s New Mind, Penrose has returned, armed with a more elaborate and more fastidious Gödelian case, expressed in Chapters 2 and 3 of his Shadows of the Mind. The core argument in these chapters is enthymematic, and when formalized, a remarkable number...

This paper shows a compact realization of regular expression matching circuits on FPGAs. First, the given regular expression is converted into a non-deterministic finite automaton (NFA) by the modified McNaughton-Yamada method. Second, to reduce the number of the states in the NFA, prefixes for the NFA are shared. Also, the NFA is converted into the NFA with multicharacter transition (MNFAU: Mo...

Emotional dysregulation is a core characteristic of many psychiatric diseases, including the anxiety disorders. Although heritable influences account for a significant degree of variation in risk for such disorders, relatively few candidate susceptibility factors have been identified. A coding variant in one such gene, encoding the dopamine catabolic enzyme catechol-O-methyltransferase (COMT Va...