Geodesic
Infinite products of binomials with increasing degree
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 1, Tome 220 (2023), pp. 28-32
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In this paper, we considered infinite products of binomials with increasing degree of the variable. We present formulas for calculating power coefficients in infinite products representing smooth functions and propose a condition for the convergence of infinite products with increasing degree.
Keywords: infinite product, function expansion, exponential function. 
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V. M. Burlakov. Infinite products of binomials with increasing degree. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 1, Tome 220 (2023), pp. 28-32. http://geodesic.mathdoc.fr/item/INTO_2023_220_a2/

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