99 citations · 459 across the 24 of their papers we have counts for
Showing 2010 · math.CAShow all
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math.CA2010★ 4 cited
Some implications of a new definition of the exponential function on time scales
Jan L. Cieśliński
We present a new approach to exponential functions on time scales and to timescale analogues of ordinary differential equations. We describe in detail the Cayley-exponential functi…
math.CA2010★ 7 cited
Improved q-exponential and q-trigonometric functions
Jan L. Cieśliński
We propose a new definition of the q-exponential function. Our q-exponential function maps the imaginary axis into the unit circle and the resulting q-trigonometric functions are b…
math.CA2010★ 23 cited
New definitions of exponential, hyperbolic and trigonometric functions on time scales
Jan L. Cieslinski
We propose two new definitions of the exponential function on time scales. The first definition is based on the Cayley transformation while the second one is a natural extension of…