On deficiencies of small functions for Painlevé transcendents of the fourth kind.
Painlevé property of a degenerate Garnier system of (9/2)-type and of a certain fourth order non-linear ordinary differential equation
Algebraic independence results for reciprocal sums of Fibonacci numbers
Algebraic relations for reciprocal sums of Fibonacci numbers
Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values
We present asymptotic representations for certain reciprocal sums of Fibonacci numbers and of Lucas numbers as a parameter tends to a critical value. As limiting cases of our results, we obtain Euler’s formulas for values of zeta functions.
Page 1