1

When Ramanujan Meets Fibonacci and Lucas

Guillera, Jesus
Journal:
American Mathematical Monthly
Year:
2020
File:
PDF, 317 KB
2020
2

Hypergeometric identities for 10 extended Ramanujan-type series

Jesús Guillera
Journal:
The Ramanujan Journal
Year:
2008
Language:
english
File:
PDF, 314 KB
english, 2008
3

Generators of some Ramanujan formulas

Jesús Guillera
Journal:
The Ramanujan Journal
Year:
2006
Language:
english
File:
PDF, 172 KB
english, 2006
4

“Divergent” Ramanujan-type supercongruences

Guillera, Jesús, Zudilin, Wadim
Journal:
Proceedings of the American Mathematical Society
Year:
2012
Language:
english
File:
PDF, 210 KB
english, 2012
5

On WZ-pairs which prove Ramanujan series

Jesús Guillera
Journal:
The Ramanujan Journal
Year:
2010
Language:
english
File:
PDF, 304 KB
english, 2010
6

Easy Proofs of Some Borwein Algorithms for π

Jesús Guillera
Journal:
American Mathematical Monthly
Year:
2008
Language:
english
File:
PDF, 352 KB
english, 2008
8

A new Ramanujan-like series for 1/π2

Jesús Guillera
Journal:
The Ramanujan Journal
Year:
2011
Language:
english
File:
PDF, 266 KB
english, 2011
9

More hypergeometric identities related to Ramanujan-type series

Jesús Guillera
Journal:
The Ramanujan Journal
Year:
2013
Language:
english
File:
PDF, 599 KB
english, 2013
10

A family of Ramanujan–Orr formulas for 1/π

Guillera, Jesús
Journal:
Integral Transforms and Special Functions
Year:
2015
Language:
english
File:
PDF, 127 KB
english, 2015
11

11381

Jesús Guillera and Jonathan Sondow
Journal:
American Mathematical Monthly
Year:
2008
Language:
english
File:
PDF, 184 KB
english, 2008
12

Easy Proofs of Some Borwein Algorithms for π

Guillera, Jesús
Journal:
American Mathematical Monthly
Year:
2008
Language:
english
File:
PDF, 280 KB
english, 2008
14

Some binomial series obtained by the WZ-method

Jesús Guillera
Journal:
Advances in Applied Mathematics
Year:
2002
Language:
english
File:
PDF, 55 KB
english, 2002
15

A New Method to Obtain Series for 1/π and 1/π 2

Guillera, Jesús
Journal:
Experimental Mathematics
Year:
2006
Language:
english
File:
PDF, 233 KB
english, 2006
16

About a New Kind of Ramanujan-Type Series

Guillera, Jesús
Journal:
Experimental Mathematics
Year:
2003
Language:
english
File:
PDF, 1.38 MB
english, 2003
17

Ramanujan-like Series for 1/π 2 and String Theory

Almkvist, Gert, Guillera, Jesús
Journal:
Experimental Mathematics
Year:
2012
Language:
english
File:
PDF, 207 KB
english, 2012
18

RAMANUJAN SERIES UPSIDE-DOWN

GUILLERA, JESUS, ROGERS, MATHEW
Journal:
Journal of the Australian Mathematical Society
Year:
2014
Language:
english
File:
PDF, 229 KB
english, 2014
19

Mahler measure and the WZ algorithm

Guillera, Jesús, Rogers, Mathew
Journal:
Proceedings of the American Mathematical Society
Year:
2015
Language:
english
File:
PDF, 250 KB
english, 2015
20

A Class of Conjectured Series Representations for 1/π

Guillera, Jesús
Journal:
Experimental Mathematics
Year:
2006
Language:
english
File:
PDF, 347 KB
english, 2006
21

Mosaic Supercongruences of Ramanujan Type

Guillera, Jesús
Journal:
Experimental Mathematics
Year:
2012
Language:
english
File:
PDF, 255 KB
english, 2012
22

New proofs of Borwein-type algorithms for Pi

Guillera, Jesús
Journal:
Integral Transforms and Special Functions
Year:
2016
Language:
english
File:
PDF, 813 KB
english, 2016
23

Self-replication and Borwein-like algorithms

Guillera, Jesús
Journal:
The Ramanujan Journal
Year:
2017
Language:
english
File:
PDF, 383 KB
english, 2017
24

Dougall’s $$_5F_4$$5F4 sum and the WZ algorithm

Guillera, Jesús
Journal:
The Ramanujan Journal
Year:
2018
Language:
english
File:
PDF, 344 KB
english, 2018
25

RAMANUJAN SERIES WITH A SHIFT

GUILLERA, JESÚS
Journal:
Journal of the Australian Mathematical Society
Year:
2018
Language:
english
File:
PDF, 195 KB
english, 2018
26

WZ pairs and q -analogues of Ramanujan series for 1/π

Guillera, Jesús
Journal:
Journal of Difference Equations and Applications
Year:
2018
Language:
english
File:
PDF, 988 KB
english, 2018
27

A method for proving Ramanujan’s series for $$1/\pi $$ 1 / π

Guillera, Jesús
Journal:
The Ramanujan Journal
Year:
2019
Language:
english
File:
PDF, 279 KB
english, 2019