Wilfrid Norman Bailey
#128,394
Most Influential Person Across History
British mathematician
Wilfrid Norman Bailey's AcademicInfluence.com Rankings
Wilfrid Norman Baileymathematics Degrees
Mathematics
#6886
Historical Rank
Measure Theory
#716
Historical Rank

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Mathematics
Why Is Wilfrid Norman Bailey Influential?
(Suggest an Edit or Addition)According to Wikipedia, Wilfrid Norman Bailey was a mathematician who introduced Bailey's lemma and Bailey pairs into the theory of basic hypergeometric series. Bailey chains and Bailey transforms are named after him. External links
Wilfrid Norman Bailey's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Generalized hypergeometric series (1935) (1516)
- An expression for (1953) (513)
- Confluent Hypergeometric Functions (1960) (471)
- Some Identities in Combinatory Analysis (1946) (140)
- SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS (1936) (124)
- Products of Generalized Hypergeometric Series (119)
- Identities of the Rogers‐Ramanujan Type (1948) (99)
- Some Infinite Integrals Involving Bessel Functions (1936) (94)
- ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES 2 ψ 2 (1950) (58)
- Transformations of Generalized Hypergeometric Series (52)
- The Generating Function of Jacobi Polynomials (1938) (45)
- A NOTE ON CERTAIN q-IDENTITIES (1941) (43)
- On the Simplification of Some Identities of the Rogers-Ramanujan Type (1951) (35)
- A FURTHER NOTE ON TWO OF RAMANUJAN'S FORMULAE (1952) (33)
- ON THE REDUCIBILITY OF APPELL'S FUNCTION F4 (1934) (30)
- ON THE ANALOGUE OF DIXON'S THEOREM FOR BILATERAL BASIC HYPERGEOMETRIC SERIES (1950) (29)
- SOME INTEGRALS INVOLVING BESSEL FUNCTIONS (1938) (29)
- A REDUCIBLE CASE OF THE FOURTH TYPE OF APPELL'S HYPERGEOMETRIC FUNCTIONS OF TWO VARIABLES (1933) (28)
- Contiguous Hypergeometric Functions of the Type 3F2(1) (1954) (28)
- A NOTE ON TWO OF RAMANUJAN'S FORMULAE (1952) (27)
- ON THE SUM OF A TERMINATING 2F2 (1) (1953) (22)
- Some Infinite Integrals Involving Bessel Functions (II) (1936) (21)
- On the Product of two Legendre Polynomials with Different Arguments (1936) (19)
- Some Integrals Involving Hermite Polynomials (1948) (18)
- On the product of two Laguerre polynomials (1939) (17)
- WELL-POISED BASIC HYPERGEOMETRIC SERIES (1947) (16)
- On the product of two Legendre polynomials (1933) (14)
- SOME TRANSFORMATIONS OF GENERALIZED HYPERGEOMETRIC SERIES, AND CONTOURINTEGRALS OF BARNES'S TYPE (1932) (13)
- SOME EXPANSIONS IN BESSEL FUNCTIONS INVOLVING APPELL'S FUNCTION F4 (1935) (13)
- An Identify Involving Heine's Basic Hyper Geometric Series (1929) (11)
- On Certain Relations between Hypergeometric Series of Higher Order (1933) (10)
- An Algebraic Identity (1936) (9)
- A Transformation of Nearly‐Poised Basic Hypergeometric Series (1947) (9)
- ON THE PRODUCT OF TWO ASSOCIATED LEGENDRE FUNCTIONS (1940) (8)
- Some Classes of Functions which are their Own Reciprocals in the Fourier‐Bessel Integral Transform (1930) (8)
- Some Theorems Concerning Products of Hypergeometric Series (1935) (7)
- Some Integrals of Kapteyn's type Involving Bessel Functions (6)
- Transformations of Well-Poised Hypergeometric Series (1934) (6)
- Some Definite Integrals Involving Bessel Functions (5)
- ON THE DOUBLE-INTEGRAL REPRESENTATION OF APPELL'S FUNCTION F4 (1941) (5)
- Some Identities Connected with Representations of Numbers (1936) (4)
- AN INTEGRAL REPRESENTATION FOR THE PRODUCT OF TWO WHITTAKER FUNCTIONS (1937) (4)
- On two manuscripts by Bishop Barnes (1959) (4)
- ASSOCIATED HYPERGEOMETRIC SERIES (1937) (3)
- Ernest William Barnes (1954) (3)
- The Partial Sum of the Coefficients of the Hypergeometric Series (1931) (3)
- Some series of squares of Bessel functions (1930) (3)
- A Generalization of An Integral Due To Ramanujan (1930) (2)
- Some series and integrals involving associated Legendre functions (II) (1931) (2)
- A Double Integral (1948) (2)
- A NEW PROOF OF DIXON'S THEOREM ON HYPERGEOMETRIC SERIES (1937) (2)
- On One of Ramanujan's Theorems (1932) (2)
- Some definite integrals involving Legendre functions (1930) (2)
- A Note on An Integral Due To Ramanujan (1931) (2)
- A Note on the Paper by Tempest and Rosenhead (1949) (2)
- An Integral Representation for the Product of Two Hermite Polynomials (1938) (2)
- Some Definite Integrals Allied to an Integral of Jacobi (2)
- A note on Bateman's expansion in Bessel functions (1929) (2)
- Some Integral Formulae Involving Associated Legendre Functions (1938) (1)
- Note on the Products for the Theta-Functions (1938) (1)
- Francis John Welsh Whipple (1943) (1)
- On Hermite Polynomials and Associated Legendre Functions (1939) (1)
- Self-Reciprocal Functions Involving Confluent Hypergeometric Functions (1938) (1)
- ON THE SUM OF A PARTICULAR BILATERAL HYPERGEOMETRIC SERIES 3H3 (1959) (1)
- An Extension of Whipple's Theorem on Well‐Poised Hypergeometric Series (1)
- An Extension of Meissel's Expansions in Kapteyn Series, and Some Similar Expansions (1932) (1)
- Relations between some Definite Integrals Involving Self-Reciprocal Functions (1932) (1)
- An Expression for ϑ 1 (nz/ϑ 1 (z) (1953) (1)
- On An Integral Formula for An Associated Legendre Function (1933) (0)
- On a Function which is its Own Reciprocal in the Fourier‐Bessel Integral transform (1930) (0)
- 983. [D. 5. f.] An elementary proof of Saalschiitz’s theorem on generalised hypergeometric series. (1931) (0)
- Asymptotic Expansions of Products of Bessel Functions (1929) (0)
- 2639. A note on a3F2 (1956) (0)
- On the Solutions of Some Integral Equations (1931) (0)
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