जियोमीट्रिक-श्रंखला इसके अंग्रेजी अर्थ का उदाहरण

An infinite Engel expansion in which all terms are equal is a geometric series.

Paul Émile Appell (1855–1930): Appell hypergeometric series, Appell polynomial, Generalized Appell polynomials.

Horn: Horn hypergeometric series.

Joseph Marie Kampe de Feriet (1893–1982): Kampe de Feriet hypergeometric series.

Lauricella Lauricella-Saran: Lauricella hypergeometric series.

Their work, completed two centuries before the invention of calculus in Europe, provided what is now considered the first example of a power series (apart from geometric series).

These include the following (infinite) geometric series:.

The interpretation of the leading repeating sequence is an extension of the sum of the geometric series:.

The first equality is given by the formula for a geometric series in each term of the product.

He introduced a set of four hypergeometric series F1, F2, F3, F4 of two variables, now called Appell series, that generalize Gauss's [series].

In 1926, with Professor Joseph-Marie Kampé de Fériet, he authored a treatise on generalized hypergeometric series.

On the other hand, we can expand the geometric series and multiply out to get.

Lauricella hypergeometric series F_A, F_B, F_C, F_D.