a necessary and sufficient condition in terms of lower cut sets are given for the insertion of a $gamma-$continuous function between two comparable real-valued functions.

Abstract. In this paper we consider the functional equation for alternating factorial sum and its particular solutions (alternating Kurepa’s function A(z) [19] and function A1(z)). We determine an extension of domain of functions A(z) and A1(z) in the sense of the principal value at point. Using the methods from [6] and [20] we give a new representation of alternating Kurepa’s function A(z), wh...

We prove the nonintegrability of susceptible-exposed-infected-removed (SEIR) epidemic model in Bogoyavlenskij sense. This property SEIR is different from more fundamental susceptible-infected-removed (SIR) model, which Bogoyavlenskij-integrable. Our basic tool for proof an extension Morales-Ramis theory due to Ayoul and Zung. Moreover, we introduce three new state variables extend system a six-...

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.

Sera containing Rh antibodies were taken from Rh-negative women at intervals during pregnancy and postpartum. A selection of these was fractionated on DEAE cellulose and by density gradient ultracentrifugation. The distribution among the immunoglobulin fractions gamma(SS), gamma(1)A, and gamma(1)M of Rh antibodies in the sera of Rh-negative women during pregnancy was analysed by these fractiona...

Riemann conjectured that all the zeros of the Riemann Ξ-function are real, which is now known as the Riemann Hypothesis (RH). In this article we introduce the study of the zeros of the truncated sums ΞN (z) in Riemann’s uniformly convergent infinite series expansion of Ξ(z) involving incomplete gamma functions. We conjecture that when the zeros of ΞN (z) in the first quadrant of the complex pla...