# Matematychni Studii Vol. 42, No.1, 2014

## CONTENTS

 Contents 1
 Cycles of admissible quiver (in Ukrainian) Zelensky A. V. 3
 Generalization of Cassini formulas for balancing and Lucas-balancing numbers Ray P. K., Parida K. 9
 Finite nearrings with identity on Miller-Moreno groups Raievska I. Yu., Raievska M. Yu. 15
 Some extremal problems in the Orlicz spaces (in Ukrainian) Shidlich A. L., Chaichenko S. O. 21
 First-order partial differential equations with variable coefficients in the class of separately differentiable functions (in Ukrainian) Myronyk V. I., Mykhaylyuk V. V. 33
 Periodicity of Dirichlet series Girya N. P. 38
 On the existence of meromorphically starlike and meromorphically convex solutions of Shah’s differential equation Dosyn K. I., Sheremeta M. M. 44
 Third Hankel determinant for the inverse of a function whose derivative has a positive real part Krishna D. Vamshee, Venkateswarlu B., RamReddy T. 54
 On the solutions of a convolution equation in a semi-strip Dilnyi V. 61
 Asymptotic properties of meromorphic solutions of differential equations in a neighborhood of a logarithmic singularity Kolyasa L. I., Mokhon'ko A. Z., Mokhon'ko V. D. 67
 On the two-step secant type method for solving nonlinear equations (in Ukrainian) Shakhno S. M., Yarmola H. P. 84

## PROBLEMS

 Questions related to the $K$-theoretical aspect of Bezout rings with various stable range conditions Zabavsky B. V. 89
 Wide operators on Kothe function spaces Popov M. M., Vatsek D. O. 104

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