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Mocanu, Differential Subordinations, Theory and Applica- tions, Monographs and Text Books in Pure and Applied Mathematics, 255, Marcel Dekker, New York, 2000.. [5]

The maximum multiplicity among eigenvaluesof matriceswith a given graph cannot generally be expressed in terms of the degrees of the vertices (even when the graph is a tree).. Given

, m , and G is simply called path-positive if it is path- positive of any order.In [3], Bapat and Lal have characterized all graphs that are path-positive.The following corollary

It was shown by van der Kallen [7] that SL n( F [ x ]), n 3, does not have bounded word length with respect to elementary matrices if the field F has infinite transcendence degree

The authors would like to thank the referee for her/his very careful reading and useful

Keywords and phrases: Transition Densities, Brownian Motion, Eigenvalue Expansion, Fine Topology, Regular

Brownian motion, fine topology, local maxima, optional

The object of the present paper is to derive various distortion theo- rems for fractional calculus and fractional integral operators of functions in the class B T (j, λ, α)