Euler had already considered the hypergeometric series 1 + \frac{\alpha\beta}{1\cdot\gamma}x + \frac{\alpha(\alpha+1)\beta(\beta+1)}{1 \cdot 2 \cdot \gamma(\gamma+1)}x^2 + \cdots on which Gauss published a memoir in 1812.
Dirichlet's treatment (Crelle, 1829), of trigonometric series was the subject of criticism and improvement by Riemann (1854), Heine, Lipschitz, Schläfli, and du Bois-Reymond.
1908, revised 1926, reprinted 1939, 1942, 1949, 1955, 1959, 1965. Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964). ==External links== Infinite Series Tutorial Calculus
1908, revised 1926, reprinted 1939, 1942, 1949, 1955, 1959, 1965. Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964). ==External links== Infinite Series Tutorial Calculus
1908, revised 1926, reprinted 1939, 1942, 1949, 1955, 1959, 1965. Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964). ==External links== Infinite Series Tutorial Calculus
1908, revised 1926, reprinted 1939, 1942, 1949, 1955, 1959, 1965. Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964). ==External links== Infinite Series Tutorial Calculus
1908, revised 1926, reprinted 1939, 1942, 1949, 1955, 1959, 1965. Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964). ==External links== Infinite Series Tutorial Calculus
1908, revised 1926, reprinted 1939, 1942, 1949, 1955, 1959, 1965. Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964). ==External links== Infinite Series Tutorial Calculus
1908, revised 1926, reprinted 1939, 1942, 1949, 1955, 1959, 1965. Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964). ==External links== Infinite Series Tutorial Calculus
1908, revised 1926, reprinted 1939, 1942, 1949, 1955, 1959, 1965. Walter Rudin, Principles of Mathematical Analysis (McGraw-Hill: New York, 1964). ==External links== Infinite Series Tutorial Calculus
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