no. 3
Returns to the origin for a randomized random walk
Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 25 (1971) no. 3, pp. 389-395. 
@article{ASNSP_1971_3_25_3_389_0,
     author = {Gibson, A. E. and Conolly, B. W.},
     title = {Returns to the origin for a randomized random walk},
     journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
     pages = {389--395},
     publisher = {Scuola normale superiore},
     volume = {Ser. 3, 25},
     number = {3},
     year = {1971},
     mrnumber = {319286},
     zbl = {0234.60082},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1971_3_25_3_389_0/}
}
TY  - JOUR
AU  - Gibson, A. E.
AU  - Conolly, B. W.
TI  - Returns to the origin for a randomized random walk
JO  - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche
PY  - 1971
SP  - 389
EP  - 395
VL  - 25
IS  - 3
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1971_3_25_3_389_0/
LA  - en
ID  - ASNSP_1971_3_25_3_389_0
ER  - 
%0 Journal Article
%A Gibson, A. E.
%A Conolly, B. W.
%T Returns to the origin for a randomized random walk
%J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche
%D 1971
%P 389-395
%V 25
%N 3
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1971_3_25_3_389_0/
%G en
%F ASNSP_1971_3_25_3_389_0
Gibson, A. E.; Conolly, B. W. Returns to the origin for a randomized random walk. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 25 (1971) no. 3, pp. 389-395. http://www.numdam.org/item/ASNSP_1971_3_25_3_389_0/

Feller, W. (1957): An introduction to probability theory and its applications, Vol. 1. Wiley; New York. | MR | Zbl

Feller, W. (1966) : An introduction to probability theory and its applications, Vol. 2. Wiley, New York. | MR | Zbl

Conolly, B.W. (1971): On randomized random walks, SIAM Review, Vol. 13, N°. 1. | MR | Zbl

Erdelyi, A. et al. (1954): Tables of integral transforms. Mc Graw Hill, New York. | Zbl

Gibson, A.E. (1968): Some aspects of time dependent one dimensional random walks, Ph. D. dissertation. Virginia Polytechnic Institute, Blacksburg, Virginia.

Luke, Y.L. (1962): Integrals of Bessel functions. Mc Graw Hill, New York. | MR | Zbl